Modulational Stability of Two-Phase Sine-Gordon Wavetrains

Nicholas M Ercolani, M. Gregory Forest, David W. Mclaughlin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A modulational stability analysis is presented for real, two-phase sine-Gordon wavetrains. Using recent results on the geometry of these real solutions, an invariant representation in terms of Abelian differentials is derived for the sine-Gordon modulation equations. The theory thus attains the same integrable features of the previously completed KdV and sinh-Gordon modulations. The twophase results are as follows: kink-kink trains are stable, while the breather trains and kink-radiation trains are unstable, to modulations.

Original languageEnglish (US)
Pages (from-to)97-101
Number of pages5
JournalStudies in Applied Mathematics
Volume71
Issue number2
DOIs
StatePublished - Oct 1 1984

ASJC Scopus subject areas

  • Applied Mathematics

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