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Solitary and periodic traveling wave solutions for a class of coupled nonlinear Klein–Gordon equations

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  • Xu, Wei
  • Shen, Jianwei

Abstract

Solitary waves and periodic waves for a class of coupled nonlinear Klein–Gordon equations are studied by using the theory of dynamical systems. Under given parameter conditions, explicit formulas of solitary wave solutions and periodic wave solutions are obtained.

Suggested Citation

  • Xu, Wei & Shen, Jianwei, 2008. "Solitary and periodic traveling wave solutions for a class of coupled nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 912-917.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:912-917
    DOI: 10.1016/j.chaos.2006.09.088
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    References listed on IDEAS

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    1. Shen, Jianwei & Xu, Wei, 2005. "Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1149-1162.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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