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Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations

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  • Wazwaz, Abdul-Majid

Abstract

The reliable tanh method is used to handle the generalized sine-Gordon and the generalized sinh-Gordon equations. Families of exact travelling wave solutions are formally derived. The method requires minimal algebra work and the obtained results include the solutions derived in others’ works.

Suggested Citation

  • Wazwaz, Abdul-Majid, 2006. "Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 127-135.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:127-135
    DOI: 10.1016/j.chaos.2005.05.017
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    References listed on IDEAS

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    1. Wazwaz, A.M., 2001. "A study of nonlinear dispersive equations with solitary-wave solutions having compact support," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(3), pages 269-276.
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    Cited by:

    1. Al-Mdallal, Qasem M. & Syam, Muhammad I., 2007. "Sine–Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1610-1617.
    2. Lewa’ Alzaleq & Du’a Al-zaleq & Suboh Alkhushayni, 2022. "Traveling Waves for the Generalized Sinh-Gordon Equation with Variable Coefficients," Mathematics, MDPI, vol. 10(5), pages 1-11, March.
    3. Jang, Bongsoo, 2009. "New exact travelling wave solutions of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 646-654.
    4. 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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