MODULATIONAL STABILITY OF TWO-PHASE SINE-GORDON WAVETRAINS.

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

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 sine-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
StatePublished - Oct 1984
Externally publishedYes

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 M; Forest, M. Gregory; McLaughlin, David W.

In: Studies in Applied Mathematics, Vol. 71, No. 2, 10.1984, p. 91-101.

Research output: Contribution to journalArticle

Ercolani, NM, Forest, MG & McLaughlin, DW 1984, 'MODULATIONAL STABILITY OF TWO-PHASE SINE-GORDON WAVETRAINS.', Studies in Applied Mathematics, vol. 71, no. 2, pp. 91-101.
Ercolani, Nicholas M ; 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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