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

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  • Li, Jibin
  • Li, Ming

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.

Suggested Citation

  • Li, Jibin & Li, Ming, 2005. "Bounded travelling wave solutions for the (n+1)-dimensional sine- and sinh-Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1037-1047.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:5:p:1037-1047
    DOI: 10.1016/j.chaos.2004.11.010
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    Cited by:

    1. Zhang, Bei & Xia, Yonghui & Zhu, Wenjing & Bai, Yuzhen, 2019. "Explicit exact traveling wave solutions and bifurcations of the generalized combined double sinh–cosh-Gordon equation," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.

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