Quasiclassical spectra of the solitons of the continual and discrete modified Korteweg - de Vries equations

Authors

  • М. М. Богдан B.I. Verkin Institute for Low Temperature Physics and Engeniering NAS of Ukraine, Ukraine
  • Д. В. Лаптєв B.I. Verkin Institute for Low Temperature Physics and Engeniering NAS of Ukraine, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2009.24.100-107

Keywords:

Quasiclassical spectra of the solitons, Hamiltonian dynamics of kinks and breathers, Аnharmonic one-dimensional crystal

Abstract

Hamiltonian dynamics of kinks and breathers is investigated in the framework of exactly integrable continual and discrete modified Korteweg - de Vries equations and Hirota lattice equation. These nonlinear excitations correspond to the shock waves and self-localized oscillations of the Fermi – Pasta - Ulam model which describes an anharmonic one-dimensional crystal. The dependence of energy on the momentum for kinks and quasiclassical spectra of energy for both continual and discrete breathers are found.

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Published

2009-06-30

Issue

Vol. 24 (2009)

Section

Статті

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Copyright (c) 2009 Scientific Herald of Uzhhorod University.Series Physics

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