Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
- 1 July 1982
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (7), 1248-1277
- https://doi.org/10.1063/1.525509
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.Keywords
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