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

M. Gregory Forest, David W. McLaughlin

Research output: Contribution to journalArticlepeer-review


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
Issue number7
StatePublished - 1981

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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