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A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations

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  • Wazwaz, Abdul-Majid

Abstract

A variable separated ODE method is used for a reliable treatment of the triple sine-Gordon and the triple sinh-Gordon equations. Two distinct sets of travelling wave solutions, that possess distinct physical structures, are formally derived for each equation. The work introduces entirely new solutions and emphasizes the power of the method that can be used in problems with identical nonlinearities.

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  • Wazwaz, Abdul-Majid, 2007. "A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 703-710.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:703-710
    DOI: 10.1016/j.chaos.2006.01.038
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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.
    2. Lv, Xiumei & Lai, Shaoyong & Wu, YongHong, 2009. "An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 82-90.

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