Bounded travelling wave solutions for the (n+1)-dimensional sine- and sinh-Gordon equations

Jibin Li and Ming Li

Chaos, Solitons & Fractals, 2005, vol. 25, issue 5, 1037-1047

Abstract: For the (n+1)-dimensional sine- and sinh-Gordon equations, by using the approach of dynamical systems to a class of travelling wave solutions, in 21 different regions of a five-parameter space, all possible 21 bounded solutions ( solitary breather solutions, kink and anti-kink breather solutions and double-periodic wave solutions) are obtained. Explicit exact parametric representations are given.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:5:p:1037-1047

DOI: 10.1016/j.chaos.2004.11.010

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