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, January). Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”, Kiev
• Davydov's solitons in zigzag carbon nanotubes
  Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2009, December). Davydov's solitons in zigzag carbon nanotubes. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins
• Some Properties of Solitons
  Brizhik, L., Eremko, A., Ferreira, L., Piette, B., & Zakrzewski, W. (2009, December). Some Properties of Solitons. Presented at SelfOrganization of Molecular Systems: NATO Advanced Research Workshop on Molecular Self-Organization, Kiev
• Some Aspects of Dynamics of Topological Solitons
  Piette, B., & Zakrzewski, W. (2008, December). Some Aspects of Dynamics of Topological Solitons. Presented at 22nd Max Born Symposium,, Wroclaw
• Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules
  Macromolecules. Presented at Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms
• Dynamics of the topological structures in inhomogeneous media
  Ferreira, L., Piette, B., & Zakrzewski, W. (2008, December). Dynamics of the topological structures in inhomogeneous media. Presented at The 5th International Symposium on Quantum Theory and Symmetries, Valladolid, Spain
• Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well
  Well. Presented at Dynamic Systems and Applications, Atlanta, Georgia, USA
• Mass Terms in the Skyrme Model
  Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006, December). 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, December). Solitonic Electron States and the Modified non-linear Schrodinger Equation in 2 and more Dimensions. Presented at Workshop on Integrable Theories, Solitons and Duality
• Understanding Skyrmions Using Rational Maps
  Manton, N., & Piette, B. (2001, December). Understanding Skyrmions Using Rational Maps. Presented at European Congress of Mathematics, Barcelona
• Nontopological structures in the baby-Skyrme model.
  Piette, B., & Zakrzewski, W. (2000, December). Nontopological structures in the baby-Skyrme model. Presented at Solitons, Properties, Dynamics, Interactions and Applications,
• Skyrmions from Harmonic Maps
  Ioannidou, T., Piette, B., & Zakrzewski, W. (2000, December). 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, December). 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, December). Three Dimensional Skyrmions and Harmonic Maps
• Skyrmions and Domain Walls
  Piette, B., & Zakrzewski, W. (1999, December). Skyrmions and Domain Walls. Presented at Properties, Dynamics, Interactions and Applications,
• Low Energy States in the SU(N) Skyrme Model
  Ioannidou, T., Piette, B., & Zakrzewski, W. (1998, December). Low Energy States in the SU(N) Skyrme Model. Presented at ISPM-98
• Soliton-like structures in two dimensions and their properties
  Piette, B., & Zakrzewski, W. (1997, December). Soliton-like structures in two dimensions and their properties
• Some Aspects of Soliton Unwindings.
  Piette, B., & Zakrzewski, W. (1996, December). Some Aspects of Soliton Unwindings
• Scattering of extended structures in (2+1) dimensional models,
  Piette, B., & Zakrzewski, W. (1995, December). Scattering of extended structures in (2+1) dimensional models,
• General Structures in (2+1) Dimensional Models
  Piette, B., & Zakrzewski, W. (1994, December). General Structures in (2+1) Dimensional Models
• Soliton-like Structure in (2+1) Dimensions
  Piette, B., & Zakrzewski, W. (1993, December). Soliton-like Structure in (2+1) Dimensions
• Extended Structures in (2+1) Dimensions
  Piette, B., & Zakrzewski, W. (1993, December). Extended Structures in (2+1) Dimensions
• Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions
  Piette, B., & Zakrzewski, W. (1993, December). Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions
• 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, December). Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects
• Skyrmions in (2+1) dimensions
  Peyrard, M., Piette, B., & Zakrzewski, W. (1991, December). 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, December). Skyrmions and their scattering in (2+1) dimensions
• Skyrmions scattering in (2+1) dimensions
  Piette, B., & Zakrzewski, W. (1991, December). Skyrmions scattering in (2+1) dimensions
• Interactions of Solitons in (2+1) Dimensions
  Piette, B., & Zakrzewski, W. (1991, December). Interactions of Solitons in (2+1) Dimensions
• Some Solutions of the U(N) Sigma Models
  Piette, B. (1988, December). Some Solutions of the U(N) Sigma Models. Presented at Proc. 16th international Colloquium on Group Theoretical Methods in Physics, Varna
• Classical Non-Linear $\sigma$ Models on Grassmann Manifolds
  Antoine, J.-P., & Piette, B. (1987, December). Classical Non-Linear $\sigma$ Models on Grassmann Manifolds. Presented at Recent Development in Mathematical Physics, Schladming

Journal Article

• Bi-Symmetric Polyhedral Cages with Nearly Maximally Connected Faces and Small Holes
  Piette, B. (2025). Bi-Symmetric Polyhedral Cages with Nearly Maximally Connected Faces and Small Holes. Symmetry, 17(6), Article 940. https://doi.org/10.3390/sym17060940
• Randomly Formed Polyhedral Cages
  Lukács, Á., & 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, Á. (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: Materials for biology and medicine, 12(2), 436-447. https://doi.org/10.1039/d3tb01659e
• Near-Miss Bi-Homogenous Symmetric Polyhedral Cages
  Piette, B., & Lukács, Á. (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, Á. (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., Iwasaki, K., & 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, 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. European Physical Society 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: Statistical, nonlinear, and soft matter physics, 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: Statistical, nonlinear, and soft matter physics, 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. Ukrainian Journal of Physics, 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, 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, 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
• 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
• 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,. The European Physical Journal C, C(1), 333-341
• 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), 3007-3011. 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
• 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, 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
• 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, 241-272. https://doi.org/10.1016/0165-1684%2893%2990085-O
• 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
• 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
• 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),
• 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
• 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
• 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