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

M. Gregory Forest; David W. McLaughlin

doi:10.1063/1.525509

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

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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 language	English (US)
Pages (from-to)	1248-1277
Number of pages	30
Journal	Journal of Mathematical Physics
Volume	23
Issue number	7
DOIs	https://doi.org/10.1063/1.525509
State	Published - 1981

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.525509

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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.",

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AB - 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.

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

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