MODULATIONS OF SINH-GORDON AND SINE-GORDON WAVETRAINS.

M. Gregory Forest, David W. McLaughlin

Research output: Contribution to journalArticle

Abstract

An invariant representation of the modulation equations for the sinh- and sine-Gordon wavetrains is derived. A simple derivation of the representation which makes fundamental use of squared eigenfunctions is presented. This representation is used to place the modulation equations in Riemann invariant form and to cast them in a Hamiltonian form. The multiphase sinh-Gordon study is complete, while the sine-Gordon theory for more than one phase possesses technical difficulties which are described in the text. Explicit results on real two-phase sine-Gordon waves are included.

Original languageEnglish (US)
Pages (from-to)11-59
Number of pages49
JournalStudies in Applied Mathematics
Volume68
Issue number1
DOIs
StatePublished - 1983

ASJC Scopus subject areas

  • Applied Mathematics

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