The geometry of real sine-Gordon wavetrains

DOI10.1007/BF01466592zbMath0591.35065MaRDI QIDQ1074784

Nicholas M. Ercolani, M. Gregory Forest

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

sine-Gordon equationquasiperiodic solutionsalgebraic representationhyperelliptic functionsmultiphase solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Relations of PDEs on manifolds with hyperfunctions (58J15)

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Cites Work

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• The spectrum of Hill's equation
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• Modulations of Sinh-Gordon and Sine-Gordon Wavetrains
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• The sine-gordon and sinh-gordon equations on the circle
• Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
• Nonlinear wave equations and constrained harmonic motion