Bound states of lattice solitons and their bifurcations

Y. Zolotaryuk, J. C. Eilbeck, A. V. Savin

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Families of travelling wave solutions have been studied in a one-dimensional kink-bearing model with a nonlinear intersite coupling. The value of the soliton velocity depends on the parameters of the system such as an anharmonicity parameter and the barrier height of the on-site potential, to which the chain is subjected. These dependencies have been studied numerically using a pseudo-spectral method. The solution space of the bound state lattice solitons has an interesting bifurcation structure. Copyright © 1997 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)81-91
Number of pages11
JournalPhysica D: Nonlinear Phenomena
Volume108
Issue number1-2
Publication statusPublished - 1997

Keywords

  • Bifurcations
  • Pseudo-spectral method
  • Topological solitons

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