Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint

M. Gregory Forest, David W. McLaughlin

Research output: Contribution to journalArticle

Abstract

A summary of the spectral theory for quasiperiodic sine- and sinh-Gordon equations is given. Analogies with whole-line solitons and scattering theory motivates the discussion. The relation between the ingredients in the inverse spectral solution of the periodic sine-Gordon equation and physical characteristics of sine-Gordon waves is emphasized. The explicit topics covered are summarized in the table of contents in the Introduction.

Original languageEnglish (US)
Pages (from-to)1248-1277
Number of pages30
JournalJournal of Mathematical Physics
Volume23
Issue number7
StatePublished - 1981

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sine-Gordon equation
spectral theory
Sine-Gordon Equation
Scattering Theory
Spectral Theory
Solitons
Analogy
Table
Concretes
Scattering
Line
ingredients
solitary waves
scattering

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Spectral theory for the periodic sine-Gordon equation : A concrete viewpoint. / Forest, M. Gregory; McLaughlin, David W.

In: Journal of Mathematical Physics, Vol. 23, No. 7, 1981, p. 1248-1277.

Research output: Contribution to journalArticle

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