Modulational Stability of Two-Phase Sine-Gordon Wavetrains

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

Research output: Contribution to journalArticle

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)91-101
Number of pages11
JournalStudies in Applied Mathematics
Volume71
Issue number2
DOIs
StatePublished - Oct 1 1984

Fingerprint

Kink
Modulation
Modulation Equations
Breathers
Sine-Gordon Equation
Korteweg-de Vries Equation
Stability Analysis
Unstable
Radiation
Invariant
Geometry

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Modulational Stability of Two-Phase Sine-Gordon Wavetrains. / Ercolani, Nicholas; Forest, M. Gregory; Mclaughlin, David W.

In: Studies in Applied Mathematics, Vol. 71, No. 2, 01.10.1984, p. 91-101.

Research output: Contribution to journalArticle

Ercolani, Nicholas ; Forest, M. Gregory ; Mclaughlin, David W. / Modulational Stability of Two-Phase Sine-Gordon Wavetrains. In: Studies in Applied Mathematics. 1984 ; Vol. 71, No. 2. pp. 91-101.
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