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An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation

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Listed:
  • Lv, Xiumei
  • Lai, Shaoyong
  • Wu, YongHong

Abstract

A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is developed to construct the exact travelling wave solutions to a nonlinear Klein–Gordon equation. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions and the triangle function solutions to the equation are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:82-90
    DOI: 10.1016/j.chaos.2007.11.013
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    References listed on IDEAS

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    1. Chen, Yong & Wang, Qi, 2005. "Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 745-757.
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    5. 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.
    6. Wazwaz, Abdul-Majid, 2005. "The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 55-63.
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