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Durham University

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Staff Profile

Bernard Piette, PhD University of Louvain

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Associate Professor (Reader), Theoretical Particle Physics in the Department of Mathematical Sciences
Associate Professor in the Centre for Particle Theory

Contact Bernard Piette

Research Groups

Department of Biosciences

  • Durham Centre for Bioimaging Technology

Department of Mathematical Sciences

  • Mathematical & Theoretical Physics
  • Mathematical & Theoretical Physics: Solitons in Field Theory

Research Interests

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

Selected Publications

Journal Article

  • Piette, Bernard M.A.G. & Heddle, Jonathan G. (2020). A Peptide–Nucleic Acid Replicator Origin for Life. Trends in Ecology & Evolution 35(5): 397-406.
  • Malay, Ali D., Miyazaki, Naoyuki, Biela, Artur, Chakraborti, Soumyananda, Majsterkiewicz, Karolina, Stupka, Izabela, Kaplan, Craig S., Kowalczyk, Agnieszka, Piette, Bernard M. A. G., Hochberg, Georg K. A., Wu, Di, Wrobel, Tomasz P., Fineberg, Adam, Kushwah, Manish S., Kelemen, Mitja, Vavpetič, Primož, Pelicon, Primož, Kukura, Philipp, Benesch, Justin L. P., Iwasaki, Kenji & Heddle, Jonathan G. (2019). An ultra-stable gold-coordinated protein cage displaying reversible assembly. Nature 569: 438-442.
  • Brizhik, L. S., Luo, J., Piette, B. M. A. G. & Zakrzewski, W. J. (2019). Long-range donor-acceptor electron transport mediated by α helices. Physical Review E 100(6): 062205.
  • Luo, J. & Piette, B. M. A. G. (2018). Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses. Physical Review E 98(1): 012401.
  • Banwell, Eleanor F., Piette, Bernard M. A. G., Taormina, Anne & Heddle, Jonathan G. (2018). Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator. Molecular Biology and Evolution 35(2): 404-416.
  • Luo, Jingxi & Piette, Bernard (2017). A generalised Davydov-Scott model for polarons in linear peptide chains. European Physical Journal B 90(8): 155.
  • Brizhik, L., Piette, B.M.A.G. & Zakrzewski, W.J. (2014). Donor-acceptor electron transport mediated by solitons. Physical Review E 90(5): 052915.
  • Brizhik, L.S., Eremko, A.A., Piette, B.A.M.G. & Zakrzewski, W.J. (2014). Thermal enhancement and stochastic resonance of polaron ratchet. Physical Review E 89(6): 062905.
  • Chakrabarti, B., Piette, B. & Zakrzewski, W.J.Z. (2012). Biopolymer hairpin loops sustained by polarons. Physical review E 86(2): 021910.
  • Nelmes,S & Piette,B.M.A.G. (2012). Phase transition and anisotropic deformations of neutron star matter. Physical Review D: Particles, Fields, Gravitation and Cosmology 85(12): 123004.
  • Chakrabarti, B, Piette, BMAG & Zakrzewski, WJ (2012). Spontaneous polaron transport in biopolymers. EPL (Europhysics Letters) 97(4): 47005.
  • Nelmes,S. & Piette,B.M.A.G. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D: Particles, Fields, Gravitation and Cosmology 84(8): 085017.
  • Smertenko, Andrei P., Piette, Bernard & Hussey, Patrick J. (2011). The Origin of Phragmoplast Asymmetry. Current Biology 21(22): 1924-1930.
  • Liu, J.L., Piette, B.M.A.G., Deeks, M.J., Franklin-Tong, V.E. & Hussey, P.J. (2010). A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth. PLoS One 5(10): e13157.
  • Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2010). Ratchet dynamics of large polarons in asymmetric diatomic molecular chains. Journal of physics: condensed matter 22(15): 155105.
  • Piette, B.M.A.G., Liu, J., Peeters, K., Smertenko, A., Hawkins, T., Deeks, M., Quinlan, R., Zakrzewski, W.J. & Hussey, P.J. (2009). A Thermodynamic Model of Microtubule Assembly and Disassembly. PLoS ONE 4(8): e6378.
  • Piette B. & Zakrzewski, W.J. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical Review E Statistical, Nonlinear and Soft Matter Physics 79(4): 046603.
  • Piette, B. & Zakrzewski, W.J. (2008). Skyrme Model with Different Mass Terms. Physical Review D 77: 074009 (.
  • Lin, W.T. & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D: Particles, Fields, Gravitation and Cosmology 77(12): 125028
  • Ferreira, L.A., Piette, B. & Zakrzewski, W.J. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical Review E 77: 036613.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2007). Adiabatic self-trapped states in carbon nanotubes. Journal of Physics: Condensed Matter 19(30): 306205.
  • Piette, B. & Zakrzewski, W.J. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical 40(2 ): 329-346.
  • Piette, B. & Zakrzewski, W.J. (2007). Scattering of Sine-Gordon kinks on potential wells. Journal of Physics A: Mathematical and Theoretical 40(22): 5995-6010.
  • Bratek, L., Brizhik, L., Eremko, A., Piette, B., Watson, M. & Zakrzewski, W.J. (2007). Self-trapped electron states in carbon nanotubes. Physica D 228(2): 130-139.
  • Piette, B.M.A.G. & Probert, G.I. (2007). Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model. Physical Review D 75: 125023.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics 324(1): 259-266.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2006). Electron self-trapping on a nano-circle. Physica D: Nonlinear Phenomena 218(1): 36-55.
  • Kopeliovich, B.V. Piette, B. & Zakrzewski, W.J. (2006). Mass terms in the Skyrme Model. Physical Review D 73(1): 014006.
  • Piette, B. & Ward, R.S. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena 201(1-2): 45-55.
  • Piette, B., Zakrzewski, W.J. & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. Journal of Physics A: Mathematical and General 38(38): 10403-10412.
  • Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2004). Solitons in alpha-helical proteins. Physical Review E E(70): 031914.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. Journal of Mathematical Physics (44): 3689-3697.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. Physical Review B B(68): 104301.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation. Nonlinearity 16(4): 1481-1497.
  • Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2002). Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study. Ukr. Fiz. Journal (47): 890-897.
  • Brizhik, L Piette, B. & Zakrzewski, W.J. (2001). Electron Self-Trapping in Anisotropic Two Dimensional Lattices. Ukr. Fiz. Journal (46): 503-511.
  • Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2001). Electron Self-Trapping in Discrete Two-Dimensional Lattices. Physica D: Nonlinear Phenomena D(159): 71-90.
  • Brihaye, Y. & Piette, B.M.A.G. (2001). Gravitating monopoloes in SU(3) gauge theory. Physical Review D D(64): 084010.
  • Brihaye, Y., Paturyan, V., Piette, B.M.A.G. & Tchrakian, D.H. (2001). Instantons in 4-dimensional gauged O(5) Skyrme models. Journal of Methematical Physics (42): 4669-4683.
  • Floratos, I. & Piette, B.M.A.G. (2001). Multi-Skyrmion Solutions for the 6th order Skyrme Model. Physical Review D D(64): 045009.
  • Ioannidou, T. Piette, B. , Sutcliffe, P. & Zakrzewski, W.J. (2001). Skyrmions and Rational Maps. Nonlinearity (14): C1-C5.
  • Brizhik, L., Eremko, A. & Piette, B.M.A.G. (2001). Solitonic Electron States in a Discrete Two-Dimensional Lattice. Physica D: Nonlinear Phenomena 2802: 1-20.
  • I. Floratos & B.M.A.G. Piette (2001). Spherically Symmetric Solutions of the sixth order SU(N) Skyrme Models. Journal of Mathematical Physics 42(12): 5580-5595.
  • Brizhik, L., Eremko, A., Piette, B.M.A.G. & Zakrzewski, W.J. (2001). Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice. Physica D: Nonlinear Phenomena D(159): 71-90.
  • Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (2000). Interaction of Skyrmions with domain walls. Physical Review D D( 61): 025016.
  • Piette, B & Tchrakian, DH (2000). Static Solutions in the U(1) Gauged Skyrme Model. Phys. Rev D(62): 025020.
  • Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Spherically Symmetric Solutions of the SU(N) Skyrme Models. Journal of Mathematical Physics 40: 6223-6233.
  • Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). SU(N) Skyrmions and Harmonic Maps. Journal of Mathematical Physics (40): 6353-6365.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Localized solutions in a 2 dimensional landau-lifshitz model. Physica D: Nonlinear Phenomena D(119): 314-326.
  • Piette, B.M.A.G., Kudryavtsev, A. & Zakrzewski, W.J. (1998). Mesons, baryons and waves in the baby skyrmion model. European Physical Journal C: Particles and Fields C(1): 333-341.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Metastable stationary solutions of the radial d dimensional sine-Gordon model. Nonlinearity (11): 1103-1110.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Numerical integration of (2+1) dimensional PDEs for valued functions. Journal of Computational Physics (145): 359-381.
  • Piette, B.M.A.G., Kudryavtsev, A. & Zakrzewski, W.J. (1998). Skyrmions and domain walls in (2+1) dimensions. Nonlinearity (11): 783-795.
  • Piette, B.M.A.G., Bogolubsky, I.L. & Zakrzewski, W.J. (1998). Solitons of a general gauged S^2 model with a mass term. Physics Letters B B(432): 151-158.
  • Leznov, A.N., Piette, B.M.A.G. & Zakrzewski, W.J (1997). On the integrability of pure skyrme models in 2 dimensions. Journal of Mathematical Physics (38): 3007-3011.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1996). Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model. Nonlinearity (9): 897-910.
  • Piette, B.M.A.G, Gladikowski, J. & Schroers, B.J. (1996). Skyrme-Maxwell Solitons in 2+1 Dimensions. Physical Review D(53): 844-851.
  • Piette, B.M.A.G., Schroers, B.J. & Zakrzewski, W.J. (1995). Dynamics of Baby Skyrmions. Nuclear Physics B B(439): 205-238.
  • Piette, B.M.A.G., Schroers, B.J. & Zakrzewski, W.J. (1995). Multisolitons in a two-dimensional Skyrme Model. Zeitschrift für Physik C Particles and Fields C(65): 165-174.
  • Piette, B. & Zakrzewski:, W.J. (1995). Skyrmion Dynamics in (2+1) dimensions. Chaos, Solitons and Fractals (5): 2495-2508.
  • Muller-Kirsten, H.J.W., Piette, B. Tchrakian, DH & Zakrzewski, W.J. (1994). A modified Mottola-Wipf model with sphaleron and instanton fields. Physics Letters B B(320): 294-298.
  • Piette, B. Tchrakian, D.H. & Zakrzewski, W.J. (1994). Chern-Simons solitons in a CP1 model. Physics Letters B B(339): 95-100.
  • Piette, B.M.A.G., Tchrakian, D.H. & Zakrzewski, W.J. (1994). Chern-Simons solitons in a model. Physics Letters B B339: 95-100.
  • Piette, B. & Zakrzewski, W.J. (1994). Some aspects of scattering of skyrmions in (2+1) dimensions. Nonlinearity (7): 231-244.
  • Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (1993). $\pi$/N Scattering in (2+1) Dimensions. Physics Letters A A( 180): 119-123.
  • Antoine, J.-P. Carrete, P. Murenzi, R. & Piette, B. (1993). Image Analysis with Two-dimensional Continuous Wavelet Transform. Signal Processing (31): 241-272.
  • Piette, B. & Zakrzewski, W.J. (1993). Skyrmion Model in (2+1) Dimensions with Soliton Bound States. Nuclear Physics B B(393): 65-78.
  • Peyrard, M. Piette, B. & Zakrzewski, W.J. (1993). Soliton like behaviour in a modified Sine-Gordon model. Physica D: Nonlinear Phenomena D( 64): 355-364.
  • Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (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.S. & Zakrzewski, W.J. (1993). Solitons Scattering in a $CP^{2}$ Model. Nonlinearity (6): 1077-1090.
  • Chakrabarti, A. Piette, B. Tchrakian, D.H. & Zakrzewski, W.J. (1992). A class of N dimensional models with extended structure solutions. Zeitschrift für Physik C Particles and Fields C( 56): 461-467.
  • Piette, B., Tchrakian, D.H. & Zakrzewski, W.J. (1992). A class of two dimensional models with extended structure solutions. Zeitschrift für Physik C Particles and Fields 54(3): 497-502.
  • Izquierdo, J.M. Piette, B. Rashid, M.S. & Zakrzewski, W.J. (1992). Models with Solitons in (2+1) Dimensions. Zeitschrift für Physik C Particles and Fields C( 53): 177.
  • Piette, B. Sutcliffe, P. & Zakrzewski, W.J. (1992). Solitons - Antisolitons Scattering in (2+1) Dimensions. International Journal of Modern Physics C C( 3): 637-660.
  • Peyrard, M. Piette, B. & Zakrzewski, W.J. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity (5): 563-583.
  • Peyrard, M. Piette, B. & Zakrzewski, W.J. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity (5): 585-600.
  • Piette, B. & Zakrzewski, W. (1989). Finite energy solutons for (1+1)‐dimensional σ models. Journal of Mathematical Physics 31: 916-923.
  • 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.
  • Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics 29: 2190-2196.
  • 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): 207.
  • 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.
  • Piette, B. & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B B(300): 223.
  • Antoine, J.-P. & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics 29(7): 1687-1697.
  • Lambert, D. & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity 5(2): 307-319.
  • 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): 111.
  • 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.
  • 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.
  • Piette, B. & Vinet, L. (1987). Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. Physics Letters A A(125): 380-384.

Conference Paper

  • Brizhik, L., Eremko, A. Piette, B. & Zakrzewski, W.J. (2010), Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems, International Journal of Quantum Chemistry 110: Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”. Kiev, Wiley, Kiev, 25-37.
  • Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2009), Davydov's solitons in zigzag carbon nanotubes, International Journal of Quantum Chemistry 110: Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins. Wiley, 11-24.
  • Brizhik, L., Eremko, A., Ferreira, L.A., Piette, B. & Zakrzewski, W.J. (2009), Some Properties of Solitons, in Russo, Nino, Antonchenko, V. IA. & Kryachko, Eugene S. eds, NATO Science for Peace and Security Series A: Chemistry and Biology SelfOrganization of Molecular Systems: NATO Advanced Research Workshop on Molecular Self-Organization. Kiev, Springer, Dordrecht, 103-121.
  • Ferreira, L.A., Piette, B. & Zakrzewski, W.J. (2008), Dynamics of the topological structures in inhomogeneous media, Journal of Physics: Conference Series 128: The 5th International Symposium on Quantum Theory and Symmetries. Valladolid, Spain, IOP Publishing, 012027.
  • Manton, N.S. & Piette, B.M.A.G (2001), Understanding Skyrmions Using Rational Maps, in C.Casacuberta & et al. eds, Progress in Mathematics 201: European Congress of Mathematics. Barcelona, Birkhauser, Barcelona, 469-479.
  • Ioannidou, T. , Piette, B. & Zakrzewski, W.J. (2000), Skyrmions from Harmonic Maps, Quark 2000. St Petersburg, St Petersburg.
  • Ioannidou, T. Piette, B. & Zakrzewski, W.J. (1998), Low Energy States in the SU(N) Skyrme Model, in Eliashvili, M et al eds, Proceedings of ISPM-98 ISPM-98. 91-123.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1994), General Structures in (2+1) Dimensional Models, in Spatschek, K.H. & Mertens, F.G. eds, Nonlinear Coherent Structures in Physics and Biology Plenum Press, 283-286.
  • Piette, B. & Zakrzewski, W.J. (1993), Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions, Anales de Fisica, Monografias V: Madrid, CIEMAT/RSEF, Madrid, 285-288.
  • Piette, B. & Zakrzewski, W.J. (1993), Extended Structures in (2+1) Dimensions, in P.A. Clarkson eds, Applications of Analytic and Geometric Methods to Nonlinear Differential Equations Kluwer Academic Publishers, 47-64.
  • Piette, B. & Zakrzewski, W.J. (1993), Soliton-like Structure in (2+1) Dimensions, in P.L. Christiansen et al. eds, Future Directions of Nonlinear Dynamics in Physical and Biological Systems Plenum Press, 73-76.
  • Antoine, J-P. Duval, M. Murenzi, R. & iette, B. (1992), Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects, in Y. Meyer eds, Wavelets and their applications Masson and Springer-Verlag, Berlin, 144-159.
  • Piette, B & Zakrzewski, W.J. (1991), Interactions of Solitons in (2+1) Dimensions, in Remoissenet, M. & Peyrard, M eds, Nonlinear Coherent Structures in Physics and Biology Dijon, Springer-Verlag, Dijon, 242-249.
  • Piette, B. & Zakrzewski, W.J. (1991), Skyrmions and their scattering in (2+1) dimensions, in P. Garbaczewski & Z. Popowicz eds, Nonlinear Fields: Classical, Random, Semiclassical Karpacz, World Scientific, Karpacz, 225-243.
  • Peyrard, M. Piette, B. & Zakrzewski, W.J. (1991), Skyrmions in (2+1) dimensions, $25^{th}$ International Conference on High Energy Physics. World Scientific, 1415.
  • Piette, B. & Zakrzewski, W.J. (1991), Skyrmions scattering in (2+1) dimensions, Proceedings of the $25^{th}$ International Conference on High Energy Physics Bruxelles, Springer Verlag, Brussels, 325-329.
  • Piette, B. (1988), Some Solutions of the U(N) Sigma Models, in H.D. Doebner, J.D. Hennig & T.D. Palev. eds, Lect. Notes in Physics Proc. 16th international Colloquium on Group Theoretical Methods in Physics. Varna, Springer, Varna, 569.
  • Antoine J-P. & Piette B. (1987), Classical Non-Linear $\sigma$ Models on Grassmann Manifolds, in Mitter, H. & Pittner, L. eds, Recent Development in Mathematical Physics. Schladming, Springer, Berlin, 191.

Conference Proceeding

  • Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W. (2008). Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules. Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms.
  • Piette, B. & Zakrzewski, W.J. (2008). Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well. Dynamic Systems and Applications, Atlanta, Georgia, USA.
  • Piette, B. & Zakrzewski, W.J. (2008). Some Aspects of Dynamics of Topological Solitons. 22nd Max Born Symposium,, Wroclaw.
  • Kopeliovich, V.B., Piette, B. & Zakrzewski, W.J. (2006). Mass Terms in the Skyrme Model. Quark 2006, St' Petersbourg, Russia.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (2000). Nontopological structures in the baby-Skyrme model. Solitons, Properties, Dynamics, Interactions and Applications,, Springer.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Skyrmions and Domain Walls. Properties, Dynamics, Interactions and Applications,, Springer.
  • Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). SU(N) Skyrmions and two dimensional CPN Rational Maps. New symmetries and integrable models, Karpacz.
  • Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Three Dimensional Skyrmions and Harmonic Maps. Halifax.
  • Piette, B.M.A.G. & Zakrzewski, W.J (1997). Soliton-like structures in two dimensions and their properties.
  • Piette, B. & Zakrzewski, W.J. (1996). Some Aspects of Soliton Unwindings. World Scientific.
  • Piette, B.M.A.G. & Zakrzewski, W.J. (1995). Scattering of extended structures in (2+1) dimensional models,. World Scientific.

Newspaper/Magazine Article

  • Brizhik, L.S. Eremko, A.A. Piette, B.M.A.G. & Zakrzewski, W.J. (2008). Ratchet behaviour of polarons in molecular chains. Journal of Physics: Condensed Matter 20(25): 255242.

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