Staff profile

• mathematical physics
• nonlinear systems
• The Skyrme model in 2 and 3 dimensions
• Solitons in inhomogeneous systems
• Electron-phonon interaction in nano-systems

• 2000: 'National and International Collaboration': 'International Collaboration with L. Brizhik and A. Eremko both from Kiev.'

Conference Paper

• Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems.
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010). Ratchet effect of Davydov’s solitons in nonlinear low-dimensional nanosystems. In International Journal of Quantum Chemistry (pp. 25-37). Wiley. https://doi.org/10.1002/qua.22083
• Some Properties of Solitons
  
  Brizhik, L., Eremko, A., Ferreira, L., Piette, B., & Zakrzewski, W. (2009). Some Properties of Solitons. In N. Russo, V. . I. Antonchenko, & E. S. Kryachko (Eds.), SelfOrganization of Molecular Systems : from molecules and clusters to nanotubes and proteins (pp. 103-121). Springer Verlag. https://doi.org/10.1007/978-90-481-2590-6_6
• Davydov's solitons in zigzag carbon nanotubes
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2009). Davydov’s solitons in zigzag carbon nanotubes. In Proceedings of the NATO ARW “Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”, Dedicated to Alexander S. Davydov’s 95th Birthday (pp. 11-24). Wiley. https://doi.org/10.1002/qua.22291
• Dynamics of the topological structures in inhomogeneous media
  
  Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Dynamics of the topological structures in inhomogeneous media. In Journal of Physics: Conference Series. The 5th International Symposium on Quantum Theory and Symmetries: 22–28 July 2007, Valladolid, Spain. IOP Publishing. https://doi.org/10.1088/1742-6596/128/1/012027
• Some Aspects of Dynamics of Topological Solitons
  
  Piette, B., & Zakrzewski, W. (2008). Some Aspects of Dynamics of Topological Solitons. In Quantum, Super and Twistors..
• Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2008). Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules. Electromagnetic Biology & Medicine, 28, 15-27.
• Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well
  
  Piette, B., & Zakrzewski, W. (2008). Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well. In Proceedings of Dynamic Systems and Applications.
• Mass Terms in the Skyrme Model
  
  Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006). Mass Terms in the Skyrme Model. Presented at Quark 2006, St’ Petersbourg, Russia.
• Solitonic Electron States and the Modified non-linear Schrodinger Equation in 2 and more Dimensions
  
  Zakrzewsk, W., Brizhik, L., Eremko, A., & Piette, B. (2002). Solitonic Electron States and the Modified non-linear Schrodinger Equation in 2 and more Dimensions. Presented at Workshop on Integrable Theories, Solitons and Duality. https://doi.org/10.22323/1.008.0040
• Understanding Skyrmions Using Rational Maps
  
  Manton, N., & Piette, B. (2001). Understanding Skyrmions Using Rational Maps. In C. Casacuberta (Ed.), Progress in Mathematics (pp. 469-479). Birkhäuser Verlag.
• Nontopological structures in the baby-Skyrme model.
  
  Piette, B., & Zakrzewski, W. (2000). Nontopological structures in the baby-Skyrme model. In CRM Series in Math. Physic (pp. 309-312). Springer Verlag.
• Skyrmions from Harmonic Maps
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (2000). Skyrmions from Harmonic Maps. Presented at Quark 2000, St Petersburg.
• SU(N) Skyrmions and two dimensional CPN Rational Maps
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). SU(N) Skyrmions and two dimensional CPN Rational Maps. Presented at New symmetries and integrable models, Karpacz.
• Three Dimensional Skyrmions and Harmonic Maps
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). Three Dimensional Skyrmions and Harmonic Maps. In CRM Proceedings and Lecture Notes.
• Skyrmions and Domain Walls
  
  Piette, B., & Zakrzewski, W. (1999). Skyrmions and Domain Walls. In R. MacKenzie & et al. (Eds.), CRM Series in Math. Physics (pp. 187-190). Springer Verlag.
• Low Energy States in the SU(N) Skyrme Model
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1998). Low Energy States in the SU(N) Skyrme Model. In M. Eliashvili (Ed.), Proceedings of ISPM-98 (pp. 91-123).
• Soliton-like structures in two dimensions and their properties
  
  Piette, B., & Zakrzewski, W. (1997). Soliton-like structures in two dimensions and their properties. In Reports on Mathematical Physics (pp. 313-340).
• Some Aspects of Soliton Unwindings.
  
  Piette, B., & Zakrzewski, W. (1996). Some Aspects of Soliton Unwindings. In B. Jancewicz & J. Sobczyk (Eds.), From Field Theory to Quantum Groups. World Scientific Publishing.
• Scattering of extended structures in (2+1) dimensional models,
  
  Piette, B., & Zakrzewski, W. (1995). Scattering of extended structures in (2+1) dimensional models,. In D. Tchrakian (Ed.), Topics in Quantum Field Theory (pp. 78-88). World Scientific Publishing.
• General Structures in (2+1) Dimensional Models
  
  Piette, B., & Zakrzewski, W. (1994). General Structures in (2+1) Dimensional Models. In K. H. Spatschek & F. G. Mertens (Eds.), Nonlinear Coherent Structures in Physics and Biology (pp. 283-286). Plenum Press.
• Soliton-like Structure in (2+1) Dimensions
  
  Piette, B., & Zakrzewski, W. (1993). Soliton-like Structure in (2+1) Dimensions. In P. Christiansen (Ed.), Future Directions of Nonlinear Dynamics in Physical and Biological Systems (pp. 73-76). Plenum Press.
• Extended Structures in (2+1) Dimensions
  
  Piette, B., & Zakrzewski, W. (1993). Extended Structures in (2+1) Dimensions. In P. Clarkson (Ed.), Applications of Analytic and Geometric Methods to Nonlinear Differential Equations (pp. 47-64). Kluwer Academic Publishers.
• Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions
  
  Piette, B., & Zakrzewski, W. (1993). Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions. In Anales de Fisica, Monografias (pp. 285-288). CIEMAT/RSEF.
• Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects
  
  Antoine, J.-P., Duval, M., Murenzi, R., & Piette, B. (1992). Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects. In Y. Meyer (Ed.), Wavelets and their applications (pp. 144-159). Masson and Springer-Verlag.
• Skyrmions in (2+1) dimensions
  
  Peyrard, M., Piette, B., & Zakrzewski, W. (1991). Skyrmions in (2+1) dimensions. Presented at $25^{th}$ International Conference on High Energy Physics.
• Skyrmions and their scattering in (2+1) dimensions
  
  Piette, B., & Zakrzewski, W. (1991). Skyrmions and their scattering in (2+1) dimensions. In P. Garbaczewski & Z. Popowicz (Eds.), Nonlinear Fields: Classical, Random, Semiclassical (pp. 225-243). World Scientific Publishing.
• Interactions of Solitons in (2+1) Dimensions
  
  Piette, B., & Zakrzewski, W. (1991). Interactions of Solitons in (2+1) Dimensions. In M. Remoissenet & M. Peyrard (Eds.), Nonlinear Coherent Structures in Physics and Biology (pp. 242-249). Springer-Verlag.
• Skyrmions scattering in (2+1) dimensions
  
  Piette, B., & Zakrzewski, W. (1991). Skyrmions scattering in (2+1) dimensions. In Proceedings of the $25^{th}$ International Conference on High Energy Physics (pp. 325-329). Springer Verlag.
• Some Solutions of the U(N) Sigma Models
  
  Piette, B. (1988). Some Solutions of the U(N) Sigma Models. In H. Doebner, J. Hennig, & T. Palev (Eds.), Lect. Notes in Physics. Springer Verlag.
• Classical Non-Linear $\sigma$ Models on Grassmann Manifolds
  
  Antoine, J.-P., & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Manifolds (H. Mitter & L. Pittner, Eds.). Springer Verlag.

Journal Article

• Randomly Formed Polyhedral Cages
  
  Lukács, Árpád, & Piette, B. M. A. G. (2025). Randomly Formed Polyhedral Cages. Axioms, 14(2), Article 83. https://doi.org/10.3390/axioms14020083
• Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes
  
  Piette, B., & Lukács, Árpad. (2025). Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes. Symmetry, 17(1), Article 101. https://doi.org/10.3390/sym17010101
• Biequivalent Planar Graphs
  
  Piette, B. (2024). Biequivalent Planar Graphs. Axioms, 13(7), Article 437. https://doi.org/10.3390/axioms13070437
• The microtubule nucleating factor MACERATOR tethers AUGMIN7 to microtubules and governs phragmoplast architecture.
  
  Schmidt-Marcec, S., Parish, A., Smertenko, T., Hickey, M., Piette, B. M. A. G., & Smertenko, A. (2024). The microtubule nucleating factor MACERATOR tethers AUGMIN7 to microtubules and governs phragmoplast architecture. The Plant Cell, 36(4), 1072–1097. https://doi.org/10.1093/plcell/koad304
• An artificial protein cage made from a 12-membered ring
  
  Stupka, I., Biela, A. P., Piette, B., Kowalczyk, A., Majsterkiewicz, K., Borzęcka-Solarz, K., Naskalska, A., & Heddle, J. G. (2024). An artificial protein cage made from a 12-membered ring. Journal of Materials Chemistry B, 12(2), 436-447. https://doi.org/10.1039/d3tb01659e
• Near-Miss Bi-Homogenous Symmetric Polyhedral Cages
  
  Piette, B., & Lukács, Árpad. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804. https://doi.org/10.3390/sym15091804
• Near-Miss Symmetric Polyhedral Cages
  
  Piette, B. M. A. G., & Lukács, Árpad. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717
• Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change
  
  Sharma, M., Biela, A. P., Kowalczyk, A., Borzęcka-Solarz, K., Piette, B. M., Gaweł, S., Bishop, J., Kukura, P., Benesch, J. L., Imamura, M., Scheuring, S., & Heddle, J. G. (2022). Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change. ACS Nanoscience Au, 2(5), 404-413. https://doi.org/10.1021/acsnanoscienceau.2c00019
• Artificial Protein Cage with Unusual Geometry and Regularly Embedded Gold Nanoparticles
  
  Majsterkiewicz, K., Biela, A. P., Maity, S., Sharma, M., Piette, B. M., Kowalczyk, A., Gaweł, S., Chakraborti, S., Roos, W. H., & Heddle, J. G. (2022). Artificial Protein Cage with Unusual Geometry and Regularly Embedded Gold Nanoparticles. Nano Letters, 22(8), 3187-3195. https://doi.org/10.1021/acs.nanolett.1c04222
• Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
  
  Piette, B. M., Kowalczyk, A., & Heddle, J. G. (2022). Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2260), Article 20210679. https://doi.org/10.1098/rspa.2021.0679
• A Peptide–Nucleic Acid Replicator Origin for Life
  
  Piette, B. M., & Heddle, J. G. (2020). A Peptide–Nucleic Acid Replicator Origin for Life. Trends in Ecology and Evolution, 35(5), 397-406. https://doi.org/10.1016/j.tree.2020.01.001
• Long-range donor-acceptor electron transport mediated by α helices
  
  Brizhik, L., Luo, J., Piette, B., & Zakrzewski, W. (2019). Long-range donor-acceptor electron transport mediated by α helices. Physical Review E, 100(6), Article 062205. https://doi.org/10.1103/physreve.100.062205
• An ultra-stable gold-coordinated protein cage displaying reversible assembly
  
  Malay, A. D., Miyazaki, N., Biela, A., Chakraborti, S., Majsterkiewicz, K., Stupka, I., Kaplan, C. S., Kowalczyk, A., Piette, B. M., Hochberg, G. K., Wu, D., Wrobel, T. P., Fineberg, A., Kushwah, M. S., Kelemen, M., Vavpetič, P., Pelicon, P., Kukura, P., Benesch, J. L., … Heddle, J. G. (2019). An ultra-stable gold-coordinated protein cage displaying reversible assembly. Nature, 569, 438-442. https://doi.org/10.1038/s41586-019-1185-4
• Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses
  
  Luo, J., & Piette, B. (2018). Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses. Physical Review . E, Statistical, Nonlinear, and Soft Matter Physics, 98(1), Article 012401. https://doi.org/10.1103/physreve.98.012401
• Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator
  
  Banwell, E. F., Piette, B. M., Taormina, A., & Heddle, J. G. (2018). Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator. Molecular Biology and Evolution, 35(2), 404-416. https://doi.org/10.1093/molbev/msx292
• A generalised Davydov-Scott model for polarons in linear peptide chains
  
  Luo, J., & Piette, B. (2017). A generalised Davydov-Scott model for polarons in linear peptide chains. The European Physical Journal B, 90(8), Article 155. https://doi.org/10.1140/epjb/e2017-80209-2
• Donor-acceptor electron transport mediated by solitons
  
  Brizhik, L., Piette, B., & Zakrzewski, W. (2014). Donor-acceptor electron transport mediated by solitons. Physical Review . E, Statistical, Nonlinear, and Soft Matter Physics, 90(5), Article 052915. https://doi.org/10.1103/physreve.90.052915
• Thermal enhancement and stochastic resonance of polaron ratchet
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2014). Thermal enhancement and stochastic resonance of polaron ratchet. Physical Review . E, Statistical, Nonlinear, and Soft Matter Physics, 89(6), Article 062905. https://doi.org/10.1103/physreve.89.062905
• Phase transition and anisotropic deformations of neutron star matter
  
  Nelmes, S., & Piette, B. (2012). Phase transition and anisotropic deformations of neutron star matter. Physical Review D, 85(12), Article 123004. https://doi.org/10.1103/physrevd.85.123004
• Spontaneous polaron transport in biopolymers
  
  Chakrabarti, B., Piette, B., & Zakrzewski, W. (2012). Spontaneous polaron transport in biopolymers. Europhysics Letters, 97(4), Article 47005. https://doi.org/10.1209/0295-5075/97/47005
• Biopolymer hairpin loops sustained by polarons
  
  Chakrabarti, B., Piette, B., & Zakrzewski, W. (2012). Biopolymer hairpin loops sustained by polarons. Physical Review . E, Statistical, Nonlinear, and Soft Matter Physics, 86(2), Article 021910. https://doi.org/10.1103/physreve.86.021910
• Skyrmion stars and the multilayered rational map ansatz
  
  Nelmes, S., & Piette, B. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D, 84(8), Article 085017. https://doi.org/10.1103/physrevd.84.085017
• The Origin of Phragmoplast Asymmetry
  
  Smertenko, A. P., Piette, B., & Hussey, P. J. (2011). The Origin of Phragmoplast Asymmetry. Current Biology, 21(22), 1924-1930. https://doi.org/10.1016/j.cub.2011.10.012
• A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth
  
  Liu, J., Piette, B., Deeks, M., Franklin-Tong, V., & Hussey, P. (2010). A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth. PLoS ONE, 5(10), Article e13157. https://doi.org/10.1371/journal.pone.0013157
• Ratchet dynamics of large polarons in asymmetric diatomic molecular chains
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010). Ratchet dynamics of large polarons in asymmetric diatomic molecular chains. Journal of Physics: Condensed Matter, 22(15), Article 155105. https://doi.org/10.1088/0953-8984/22/15/155105
• A Thermodynamic Model of Microtubule Assembly and Disassembly
  
  Piette, B., Liu, J., Peeters, K., Smertenko, A., Hawkins, T., Deeks, M., Quinlan, R., Zakrzewski, W., & Hussey, P. (2009). A Thermodynamic Model of Microtubule Assembly and Disassembly. PLoS ONE, 4(8), Article e6378. https://doi.org/10.1371/journal.pone.0006378
• Scattering of sine-Gordon Breathers on a Potential Well
  
  Piette, B., & Zakrzewski, W. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical Review . E, Statistical, Nonlinear, and Soft Matter Physics, 79(4), Article 046603. https://doi.org/10.1103/physreve.79.046603
• Skyrmion Vibration Modes within the Rational Map Ansatz
  
  Lin, W., & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D, 77(12), Article 125028. https://doi.org/10.1103/physrevd.77.125028
• Ratchet behaviour of polarons in molecular chains
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2008). Ratchet behaviour of polarons in molecular chains. Journal of Physics: Condensed Matter, 20(25). https://doi.org/10.1088/0953-8984/20/25/255242
• Wobbles and other kink-breather solutions of the Sine Gordon model
  
  Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical Review E, 77. https://doi.org/10.1103/physreve.77.036613
• Skyrme Model with Different Mass Terms
  
  Piette, B., & Zakrzewski, W. (2008). Skyrme Model with Different Mass Terms. Physical Review D, 77. https://doi.org/10.1103/physrevd.77.074009
• Adiabatic self-trapped states in carbon nanotubes
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2007). Adiabatic self-trapped states in carbon nanotubes. Journal of Physics: Condensed Matter, 19(30). https://doi.org/10.1088/0953-8984/19/30/306205
• Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model
  
  Piette, B., & Probert, G. (2007). Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model. Physical Review D, 75. https://doi.org/10.1103/physrevd.75.125023
• Scattering of Sine-Gordon kinks on potential wells
  
  Piette, B., & Zakrzewski, W. (2007). Scattering of Sine-Gordon kinks on potential wells. Journal of Physics A: Mathematical and Theoretical, 40(22), 5995-6010. https://doi.org/10.1088/1751-8113/40/22/016
• Self-trapped electron states in carbon nanotubes
  
  Bratek, L., Brizhik, L., Eremko, A., Piette, B., Watson, M., & Zakrzewski, W. (2007). Self-trapped electron states in carbon nanotubes. Physica D: Nonlinear Phenomena, 228(2), 130-139. https://doi.org/10.1016/j.physd.2007.02.013
• Dynamical properties of a Soliton in a Potential Well
  
  Piette, B., & Zakrzewski, W. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical, 40(2), 329-346. https://doi.org/10.1088/1751-8113/40/2/011
• Electron self-trapping on a nano-circle.
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Electron self-trapping on a nano-circle. Physica D: Nonlinear Phenomena, 218(1), 36-55. https://doi.org/10.1016/j.physd.2006.04.010
• Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics, 324(1), 259-266. https://doi.org/10.1016/j.chemphys.2006.01.033
• Mass terms in the Skyrme Model
  
  Kopeliovich, B., Piette, B., & Zakrzewski, W. (2006). Mass terms in the Skyrme Model. Physical Review D, Particles and Fields, 73(1). https://doi.org/10.1103/physrevd.73.014006
• Scattering of Topological Solitons on Holes and Barriers
  
  Piette, B., Zakrzewski, W., & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. Journal of Physics A: Mathematical and General, 38(38), 10403-10412. https://doi.org/10.1088/0305-4470/38/48/011
• Planar Skyrmions: vibrational modes and dynamics
  
  Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55. https://doi.org/10.1016/j.physd.2004.12.001
• Solitons in alpha-helical proteins
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2004). Solitons in alpha-helical proteins. Physical Review E, E(70). https://doi.org/10.1103/physreve.70.031914
• Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation. Nonlinearity, 16(4), 1481-1497. https://doi.org/10.1088/0951-7715/16/4/317
• Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation.
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. Journal of Mathematical Physics, 44, 3689-3697. https://doi.org/10.1063/1.1592873
• Spontaneous Localization of Electrons in Lattices with Non-Local Interactions.
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. Physical Review B, B(68).
• Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study.
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2002). Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study. Ukr. Fiz. Journal, 47(9), 890-897.
• Spherically symmetric solutions of the 6th order SU(N) Skyrme models
  
  Floratos, I., & Piette, B. (2001). Spherically symmetric solutions of the 6th order SU(N) Skyrme models. Journal of Mathematical Physics, 42(12), 5580-5595. https://doi.org/10.1063/1.1415742
• Instantons in 4-dimensional gauged O(5) Skyrme models
  
  Brihaye, Y., Paturyan, V., Piette, B., & Tchrakian, D. (2001). Instantons in 4-dimensional gauged O(5) Skyrme models. Journal of Mathematical Physics, 42, 4669-4683. https://doi.org/10.1063/1.1396636
• Gravitating monopoloes in SU(3) gauge theory
  
  Brihaye, Y., & Piette, B. (2001). Gravitating monopoloes in SU(3) gauge theory. Physical Review D, D(64).
• Electron Self-Trapping in Discrete Two-Dimensional Lattices
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2001). Electron Self-Trapping in Discrete Two-Dimensional Lattices. Physica D: Nonlinear Phenomena, D(159), 71-90.
• Skyrmions and Rational Maps
  
  Ioannidou, T., Piette, B., Sutcliffe, P., & Zakrzewski, W. (2001). Skyrmions and Rational Maps. Nonlinearity, 14, Article C1. https://doi.org/10.1088/0951-7715/14/1/101
• Multi-Skyrmion Solutions for the 6th order Skyrme Model
  
  Floratos, I., & Piette, B. (2001). Multi-Skyrmion Solutions for the 6th order Skyrme Model. Physical Review D, D(64).
• Solitonic Electron States in a Discrete Two-Dimensional Lattice
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. J. (2001). Solitonic Electron States in a Discrete Two-Dimensional Lattice. Physica D: Nonlinear Phenomena, 2802, 1-20.
• Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice
  
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2001). Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice. Physica D: Nonlinear Phenomena, D(159), 71-90.
• Electron Self-Trapping in Anisotropic Two Dimensional Lattices
  
  Brizhik, L., Piette, B., & Zakrzewski, W. (2001). Electron Self-Trapping in Anisotropic Two Dimensional Lattices. Ukrainian Journal of Physics, 46(4), 503-511.
• Interaction of Skyrmions with domain walls
  
  Kudryavtsev, A., Piette, B., & Zakrzewski, W. (2000). Interaction of Skyrmions with domain walls. Physical Review D, D( 61).
• Static Solutions in the U(1) Gauged Skyrme Model
  
  Piette, B., & Tchrakian, D. (2000). Static Solutions in the U(1) Gauged Skyrme Model. Physical Review D - Particles, Fields, Gravitation and Cosmology, D(62).
• SU(N) Skyrmions and Harmonic Maps,
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). SU(N) Skyrmions and Harmonic Maps,. Journal of Mathematical Physics, 40(12), 6353-6365. https://doi.org/10.1063/1.533097
• Spherically Symmetric Solutions of the SU(N) Skyrme Models,
  
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). Spherically Symmetric Solutions of the SU(N) Skyrme Models,. Journal of Mathematical Physics, 40, 6223-6233.
• Numerical integration of (2+1) dimensional PDEs for valued functions
  
  Piette, B., & Zakrzewski, W. (1998). Numerical integration of (2+1) dimensional PDEs for valued functions. Journal of Computational Physics, 145(1), 359-381. https://doi.org/10.1006/jcph.1998.6013
• Mesons, baryons and waves in the baby skyrmion model,
  
  Piette, B., Kudryavtsev, A., & Zakrzewski, W. (1998). Mesons, baryons and waves in the baby skyrmion model,. European Physical Journal C: Particles and Fields, C(1), 333-341.
• Localized solutions in a 2 dimensional landau-lifshitz model,
  
  Piette, B., & Zakrzewski, W. (1998). Localized solutions in a 2 dimensional landau-lifshitz model,. Physica D: Nonlinear Phenomena, D(119), 314-326.
• Solitons of a general gauged S^2 model with a mass term,
  
  Piette, B., Bogolubsky, I., & Zakrzewski, W. (1998). Solitons of a general gauged S^2 model with a mass term,. Physics Letters B, B(432), 151-158. https://doi.org/10.1016/s0370-2693%2898%2900646-7
• Metastable stationary solutions of the radial d dimensional sine-Gordon model,
  
  Piette, B., & Zakrzewski, W. (1998). Metastable stationary solutions of the radial d dimensional sine-Gordon model,. Nonlinearity, 11(4), 1103-1110. https://doi.org/10.1088/0951-7715/11/4/020
• Skyrmions and domain walls in (2+1) dimensions,
  
  Piette, B., Kudryavtsev, A., & Zakrzewski, W. (1998). Skyrmions and domain walls in (2+1) dimensions,. Nonlinearity, 11(4), 783-795. https://doi.org/10.1088/0951-7715/11/4/002
• On the integrability of pure skyrme models in 2 dimensions
  
  Leznov, A., Piette, B., & Zakrzewski, W. (1997). On the integrability of pure skyrme models in 2 dimensions. Journal of Mathematical Physics, 38(38), Article 6. https://doi.org/10.1063/1.532029
• Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model
  
  Piette, B., & Zakrzewski, W. (1996). Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model. Nonlinearity, 9, 897-910. https://doi.org/10.1088/0951-7715/9/4/005
• Skyrme-Maxwell Solitons in 2+1 Dimensions
  
  Piette, B., Gladikowski, J., & Schroers, B. (1996). Skyrme-Maxwell Solitons in 2+1 Dimensions. Physical Review D, Particles and Fields, D(53), 844-851.
• Skyrmion Dynamics in (2+1) dimensions
  
  Piette, B., & Zakrzewski:, W. (1995). Skyrmion Dynamics in (2+1) dimensions. Chaos, Solitons and Fractals, 5(12), 2495-2508. https://doi.org/10.1016/0960-0779%2894%29e0111-2
• Multisolitons in a two-dimensional Skyrme Model
  
  Piette, B., Schroers, B., & Zakrzewski, W. (1995). Multisolitons in a two-dimensional Skyrme Model. Zeitschrift für Physik C Particles and Fields, C(65), 165-174.
• Dynamics of Baby Skyrmions
  
  Piette, B., Schroers, B., & Zakrzewski, W. (1995). Dynamics of Baby Skyrmions. Nuclear Physics B, B(439), 205-238. https://doi.org/10.1016/0550-3213%2895%2900011-g
• A modified Mottola-Wipf model with sphaleron and instanton fields
  
  Muller-Kirsten, H., Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). A modified Mottola-Wipf model with sphaleron and instanton fields. Physics Letters B, B(320), 294-298.
• Chern-Simons solitons in a model
  
  Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). Chern-Simons solitons in a model. Physics Letters B, B339, 95-100. https://doi.org/10.1016/0370-2693%2894%2991139-8
• Chern-Simons solitons in a CP1 model
  
  Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). Chern-Simons solitons in a CP1 model. Physics Letters B, B(339), 95-100.
• Some aspects of scattering of skyrmions in (2+1) dimensions
  
  Piette, B., & Zakrzewski, W. (1994). Some aspects of scattering of skyrmions in (2+1) dimensions. Nonlinearity, 7(1), 231-244. https://doi.org/10.1088/0951-7715/7/1/010
• Image Analysis with Two-dimensional Continuous Wavelet Transform
  
  Antoine, J.-P., Carrete, P., Murenzi, R., & Piette, B. (1993). Image Analysis with Two-dimensional Continuous Wavelet Transform. Signal Processing, 31, 241-272. https://doi.org/10.1016/0165-1684%2893%2990085-O
• Soliton like behaviour in a modified Sine-Gordon model
  
  Peyrard, M., Piette, B., & Zakrzewski, W. (1993). Soliton like behaviour in a modified Sine-Gordon model. Physica D: Nonlinear Phenomena, D( 64), 355-364.
• Soliton scattering in the CP² model
  
  Piette, B., Rashid, M., & Zakrzewski, W. (1993). Soliton scattering in the CP² model. Nonlinearity, 6, 1077-1090.
• Skyrmion Model in (2+1) Dimensions with Soliton Bound States
  
  Piette, B., & Zakrzewski, W. (1993). Skyrmion Model in (2+1) Dimensions with Soliton Bound States. Nuclear Physics B, B(393), 65-78. https://doi.org/10.1016/0550-3213%2893%2990237-j
• $\pi$/N Scattering in (2+1) Dimensions
  
  Kudryavtsev, A., Piette, B., & Zakrzewski, W. (1993). $\pi$/N Scattering in (2+1) Dimensions. Physics Letters A, A( 180), 119-123.
• Soliton-Soliton and Wave-Soliton Collisions in Skyrme-like $\sigma$ Models
  
  Kudryavtsev, A., Piette, B., & Zakrzewski, W. (1993). Soliton-Soliton and Wave-Soliton Collisions in Skyrme-like $\sigma$ Models. Zeitschrift für Physik C Particles and Fields, C( 60), 731-737.
• Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case
  
  Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity, 5(2), 563-583. https://doi.org/10.1088/0951-7715/5/2/012
• Soliton Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems
  
  Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Soliton Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity, 5(2), 585-600. https://doi.org/10.1088/0951-7715/5/2/013
• Models with Solitons in (2+1) Dimensions
  
  Izquierdo, J., Piette, B., Rashid, M., & Zakrzewski, W. (1992). Models with Solitons in (2+1) Dimensions. Zeitschrift für Physik C Particles and Fields, C( 53).
• A class of two dimensional models with extended structure solutions.
  
  Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of two dimensional models with extended structure solutions. Zeitschrift für Physik C Particles and Fields, 54(3), 497-502. https://doi.org/10.1007/bf01559470
• Solitons - Antisolitons Scattering in (2+1) Dimensions
  
  Piette, B., Sutcliffe, P., & Zakrzewski, W. (1992). Solitons - Antisolitons Scattering in (2+1) Dimensions. International Journal of Modern Physics C, C( 3), 637-660.
• A class of N dimensional models with extended structure solutions
  
  Chakrabarti, A., Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of N dimensional models with extended structure solutions. Zeitschrift für Physik C Particles and Fields, C( 56), 461-467.
• Finite energy solutons for (1+1)‐dimensional σ models.
  
  Piette, B., & Zakrzewski, W. (1989). Finite energy solutons for (1+1)‐dimensional σ models. Journal of Mathematical Physics, 31, 916-923. https://doi.org/10.1063/1.528772
• Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions
  
  Piette, B., & Zakrzewski, W. (1989). Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions. Journal of Mathematical Physics, 30, 2233-2237. https://doi.org/10.1063/1.528548
• On stability of solutions of theU(N) chiral model in two dimensions.
  
  Piette, B., Stokoe, I., & Zakrzewski, W. (1988). On stability of solutions of theU(N) chiral model in two dimensions. Zeitschrift für Physik C Particles and Fields, 37(3), 449-455. https://doi.org/10.1007/bf01578140
• Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term
  
  Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Zeitschrift für Physik C Particles and Fields, 39(3), 359-364. https://doi.org/10.1007/bf01548285
• Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds.
  
  Lambert, D., & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity, 5(2), 307-319. https://doi.org/10.1088/0264-9381/5/2/010
• Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds
  
  Antoine, J.-P., & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics, 29(7), 1687-1697. https://doi.org/10.1063/1.527917
• Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term
  
  Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Zeitschrift für Physik C Particles and Fields, C( 44).
• Explicit Solutions of Grassmannian $\sigma$ Models
  
  Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147
• General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions
  
  Piette, B., & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nuclear Physics B, B(300). https://doi.org/10.1016/0550-3213%2888%2990594-9
• Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions
  
  Piette, B., & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B, B(300). https://doi.org/10.1016/0550-3213%2888%2990595-0
• Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians.
  
  Piette, B., & Vinet, L. (1987). Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. Physics Letters A, A(125), 380-384. https://doi.org/10.1016/0375-9601%2887%2990165-4
• Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type
  
  Antoine, J.-P., & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type. Journal of Mathematical Physics, 28, 2753-2762. https://doi.org/10.1063/1.527723