Modulation of the velocity of soliton-like perturbations for the sine-Gordon equation with external force and dissipation

L. A. Krasnobaeva, A. V. Shapovalov

Research output: Contribution to journalArticle

Abstract

An analytical expression of the function modulating the amplitude of soliton velocity perturbations for the sine-Gordon equation with a uniform external harmonic force and dissipation is derived. The evolution of the soliton velocity for the external force in the form of a step function of time is examined. An analytical expression for the time-averaged soliton velocity is obtained.

Original languageEnglish
Pages (from-to)1331-1338
Number of pages8
JournalRussian Physics Journal
Volume52
Issue number12
DOIs
Publication statusPublished - 2009
Externally publishedYes

Fingerprint

dissipation
solitary waves
modulation
perturbation
step functions
harmonics

Keywords

  • Dissipation
  • Harmonic force
  • Sine-Gordon equation
  • Soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Modulation of the velocity of soliton-like perturbations for the sine-Gordon equation with external force and dissipation. / Krasnobaeva, L. A.; Shapovalov, A. V.

In: Russian Physics Journal, Vol. 52, No. 12, 2009, p. 1331-1338.

Research output: Contribution to journalArticle

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