π-kinks in the parametrically driven sine-Gordon equation and applications

Igor Mitkov, Vadim Zharnitsky

Research output: Contribution to journalArticle

Abstract

Parametrically driven sine-Gordon equation with a mean-zero forcing is considered. It is shown that the system is well approximated by the double sine-Gordon equation using the normal form technique. The reduced equation possesses π-kink solutions, which are also observed numerically in the original system. This result is applied to domain walls dynamics in one-dimensional easy-plane ferromagnets. For such system the existence of π-kinks implies the "true" domain structure in the presence of high-frequency magnetic field.

Original languageEnglish (US)
Pages (from-to)301-307
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume123
Issue number1-4
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Keywords

  • Domain wall dynamics
  • Easy-plane ferromagnets
  • Normal form technique
  • Parametrical forcing
  • Sine-Gordon equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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