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New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equation

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  • Tian, Lixin
  • Yin, Jiuli

Abstract

In the paper, we introduce the concept of nonlinear intensity, study a fully nonlinear sine-Gordon equation SG(m,n,p) and obtain a new type of peakon solutions and kink solutions by a direct method. Research approximate SG(m,n,p) equation and obtain a new multi-compacton and peakon solutions of approximate SG(m,n,p) equation. At last, we study a fully nonlinear sine-Gordon equation under high dimension.

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  • Tian, Lixin & Yin, Jiuli, 2005. "New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 353-363.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:353-363
    DOI: 10.1016/j.chaos.2004.09.040
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    Cited by:

    1. Yin, Jiuli & Tian, Lixin, 2009. "Stumpons and fractal-like wave solutions to the Dullin–Gottwald–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 643-648.

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