We present a general review of some aspects of the dynamics of topological solitons in 1 and 2 dimensions. We discuss some recent work on the scattering of solitons on potential obstructions and in the presence of some external fields.
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References
N. Manton and P.M. Sutcliffe, Topological Solitons, Cambridge: Cambridge University Press, (2004)
N.S. Davydov, Solitons in Molecular Systems, Dordrecht: Reidel, (1985)
P.G. Drazin, Solitons, Cambridge University Press, Cambridge, UK (1983)
T. Weidig, Nonlinearity 12 (1999) 1489–1503 or P. Eslami, M. Sarbishaei and W.J. Zakrzewski, Nonlinearity, 13, 1867–1881 (2000)
N. Papanicolaou and T.N. Tomaras, Nucl. Phys. B 360, 425 (1991)
J. Brand, B. Piette and W.J. Zakrzewski, J. Phys. A 38, 10403–10412 (2005)
B.M.A.G. Piette and W.J. Zakrzewski, hep-th/0610095, J. Phys. A 40, 329–346 (2007)
B.M.A.G. Piette and W.J. Zakrzewski, J. Phys. A 40, 5995–6010 (2007)
K. Javidan, J. Phys. A 39, 10565–10574 (2006)
T. Romanczukiewicz, J. Phys. A 39, 3479–3494 (2006)
B. Piette and W.J. Zakrzewski - preprint, arXiv:0710.4391 (2007)
B.M.A.G. Piette and R.S. Ward, Physica D 201, 45–55 (2005)
Z. Fei, Yu.S. Kivshar, and L. Vazquez, Phys. Rev. A 45, 6019–6030 (1992)
R.H. Goodman and R. Haberman, Physica D 195, 303–323 (2004)
G. Kälberman, J. Phys. A 37, 11607 (2004)
R. Hirota, “Direct Methods In Soliton Theory,“ In Soliton, eds. Bullough, R.K., Caudrey, P.J., 157–176 (1980)
L.A. Ferreira, B. Piette, and W.J. Zakrzewski preprint, arxiv:0708/1088 (hep-th), Phys. Rev. E 77 036613 (2008)
L.A. Ferreira and W.J. Zakrzewski arxiv:0707/1603, JHEP 09 015 (2007)
P. Reinmann, Phys. Rev., 36, 57 (2002)
M. Salerno and Y. Zolotaryuk, Phys. Rev., 65, 056603 (2002); Phys. Rev. E, 73, 066621 (2006)
L. Brizhik, A. Eremko, B.M.A.G. Piette, and W.J. Zakrzewski, J. Phys. Cond. Matter 20, 255242 (2008)
L. Brizhik, A. Eremko, B.M.A.G. Piette, and W.J. Zakrzewski (in preparation)
J. Martin Speight, Nonlinearity 19, 1565–1579 (2006)
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Brizhik, L.S., Eremko, A.A., Ferreira, L.A., Piette, B.M.A.G., Zakrzewski, W.J. (2009). Some Properties of Solitons. In: Russo, N., Antonchenko, V.Y., Kryachko, E.S. (eds) SelfOrganization of Molecular Systems. NATO Science for Peace and Security Series A: Chemistry and Biology. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2590-6_6
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DOI: https://doi.org/10.1007/978-90-481-2590-6_6
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