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

• 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
• 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
• 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
• Macromolecules. Presented at Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms
• Piette, B., & Zakrzewski, W. (2008, December). Some Aspects of Dynamics of Topological Solitons. Presented at 22nd Max Born Symposium,, Wroclaw
• Well. Presented at Dynamic Systems and Applications, Atlanta, Georgia, USA
• 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
• Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006, December). Mass Terms in the Skyrme Model. Presented at Quark 2006, St' Petersbourg, Russia
• 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
• Manton, N., & Piette, B. (2001, December). Understanding Skyrmions Using Rational Maps. Presented at European Congress of Mathematics, Barcelona
• Piette, B., & Zakrzewski, W. (2000, December). Nontopological structures in the baby-Skyrme model. Presented at Solitons, Properties, Dynamics, Interactions and Applications,
• Ioannidou, T., Piette, B., & Zakrzewski, W. (2000, December). Skyrmions from Harmonic Maps. Presented at Quark 2000, St Petersburg
• Piette, B., & Zakrzewski, W. (1999, December). Skyrmions and Domain Walls. Presented at Properties, Dynamics, Interactions and Applications,
• 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
• Ioannidou, T., Piette, B., & Zakrzewski, W. (1999, December). Three Dimensional Skyrmions and Harmonic Maps
• Ioannidou, T., Piette, B., & Zakrzewski, W. (1998, December). Low Energy States in the SU(N) Skyrme Model. Presented at ISPM-98
• Piette, B., & Zakrzewski, W. (1997, December). Soliton-like structures in two dimensions and their properties
• Piette, B., & Zakrzewski, W. (1996, December). Some Aspects of Soliton Unwindings
• Piette, B., & Zakrzewski, W. (1995, December). Scattering of extended structures in (2+1) dimensional models,
• Piette, B., & Zakrzewski, W. (1994, December). General Structures in (2+1) Dimensional Models
• Piette, B., & Zakrzewski, W. (1993, December). Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions
• Piette, B., & Zakrzewski, W. (1993, December). Extended Structures in (2+1) Dimensions
• Piette, B., & Zakrzewski, W. (1993, December). Soliton-like Structure in (2+1) Dimensions
• 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
• Peyrard, M., Piette, B., & Zakrzewski, W. (1991, December). Skyrmions in (2+1) dimensions. Presented at $25^{th}$ International Conference on High Energy Physics
• Piette, B., & Zakrzewski, W. (1991, December). Interactions of Solitons in (2+1) Dimensions
• Piette, B., & Zakrzewski, W. (1991, December). Skyrmions and their scattering in (2+1) dimensions
• Piette, B., & Zakrzewski, W. (1991, December). Skyrmions scattering in (2+1) dimensions
• 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
• 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

• Piette, B. (2024). Biequivalent Planar Graphs. Axioms, 13(7), Article 437. https://doi.org/10.3390/axioms13070437
• 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
• 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
• Piette, B., & Lukács, Á. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804. https://doi.org/10.3390/sym15091804
• Piette, B. M. A. G., & Lukács, Á. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Piette, B., & Zakrzewski, W. (2008). Skyrme Model with Different Mass Terms. Physical Review D, 77, https://doi.org/10.1103/physrevd.77.074009
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. Physical review B, B(68),
• 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
• 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
• 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
• 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
• 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
• 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
• Floratos, I., & Piette, B. (2001). Multi-Skyrmion Solutions for the 6th order Skyrme Model. Physical Review D, D(64),
• 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
• Brizhik, L., Eremko, A., & Piette, B. (2001). Solitonic Electron States in a Discrete Two-Dimensional Lattice. Physica D: Nonlinear Phenomena, 2802, 1-20
• Brihaye, Y., & Piette, B. (2001). Gravitating monopoloes in SU(3) gauge theory. Physical Review D, D(64),
• Brizhik, L., Piette, B., & Zakrzewski, W. (2001). Electron Self-Trapping in Anisotropic Two Dimensional Lattices. Ukrainian Journal of Physics, 46(4), 503-511
• Piette, B., & Tchrakian, D. (2000). Static Solutions in the U(1) Gauged Skyrme Model. Physical Review D, D(62),
• Kudryavtsev, A., Piette, B., & Zakrzewski, W. (2000). Interaction of Skyrmions with domain walls. Physical Review D, D( 61),
• Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). Spherically Symmetric Solutions of the SU(N) Skyrme Models,. Journal of Mathematical Physics, 40, 6223-6233
• 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
• Piette, B., & Zakrzewski, W. (1998). Localized solutions in a 2 dimensional landau-lifshitz model,. Physica D: Nonlinear Phenomena, D(119), 314-326
• 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
• 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
• 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
• 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
• 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
• 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
• Piette, B., Gladikowski, J., & Schroers, B. (1996). Skyrme-Maxwell Solitons in 2+1 Dimensions. Physical Review D, Particles and fields, D(53), 844-851
• 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
• 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
• 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
• 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
• 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
• 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
• Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). Chern-Simons solitons in a CP1 model. Physics Letters B, B(339), 95-100
• 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
• Peyrard, M., Piette, B., & Zakrzewski, W. (1993). Soliton like behaviour in a modified Sine-Gordon model. Physica D: Nonlinear Phenomena, D( 64), 355-364
• Kudryavtsev, A., Piette, B., & Zakrzewski, W. (1993). $\pi$/N Scattering in (2+1) Dimensions. Physics Letters A, A( 180), 119-123
• 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
• Piette, B., Rashid, M., & Zakrzewski, W. (1993). Soliton scattering in the CP² model. Nonlinearity, 1077-1090
• 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
• 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
• 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
• 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),
• Piette, B., Sutcliffe, P., & Zakrzewski, W. (1992). Solitons - Antisolitons Scattering in (2+1) Dimensions. International Journal of Modern Physics C, C( 3), 637-660
• 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
• 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
• 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
• 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
• 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
• Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147
• 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
• 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
• 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),
• 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
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