Parametrically forced sine-Gordon equation and domain wall dynamics in ferromagnets

Vadim Zharnitsky, Igor Mitkov

Research output: Contribution to journalArticlepeer-review


A parametrically forced sine-Gordon equation with a fast periodic mean-zero forcing is considered. It is shown that (Formula presented) kinks represent a class of solitary-wave solutions of the equation. This result is applied to quasi-one-dimensional ferromagnets with an easy-plane anisotropy, in a rapidly oscillating magnetic field. In this case the (Formula presented)-kink solution we have introduced corresponds to the uniform “true” domain-wall motion, since the magnetization directions on opposite sides of the wall are antiparallel. In contrast to previous work, no additional anisotropy is required to obtain a true domain wall. Numerical simulations showed good qualitative agreement with the theory.

Original languageEnglish (US)
Pages (from-to)5033-5035
Number of pages3
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number9
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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