Internal modes of oscillations of topological solitons in highly dispersive media

Authors

  • O. V. Charkina B.Verkin Institute for Low Temperature Physics and Engineering, Ukraine
  • M. M. Bogdan B.Verkin Institute for Low Temperature Physics and Engineering, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2005.17.30-37

Abstract

The problem of stability and spectrum of linear excitations of a soliton (kink) of the dispersive sine-Gordon and 4- equations is solved exactly. It is shown that the total spectrum consists of a discrete set of frequencies of internal modes and a single band spectrum of continuum waves. It is shown by numerical simulations that a transi­tion motion of a single soliton in highly dispersive systems is accompanied by arsing of its internal dynamics and, in some cases, creation of breathers, and always by generation of backward radiation. It is shown numerically that a fast motion of two topological solitons leads to a formation of a bound soliton complex in the dispesive sine-Gordon system.

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Published

2005-06-30

Issue

Vol. 17 (2005)

Section

Статті

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Copyright (c) 2005 Scientific Herald of Uzhhorod University.Series Physics

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