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Exact traveling wave solutions of the Boussinesq equation

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  • Ding, Shuangshuang
  • Zhao, Xiqiang

Abstract

The repeated homogeneous balance method is used to construct exact traveling wave solutions of the Boussinesq equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. Many new exact traveling wave solutions of the Boussinesq equation are successfully obtained.

Suggested Citation

  • Ding, Shuangshuang & Zhao, Xiqiang, 2006. "Exact traveling wave solutions of the Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 1032-1036.
  • Handle: RePEc:eee:chsofr:v:29:y:2006:i:4:p:1032-1036
    DOI: 10.1016/j.chaos.2005.08.062
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    Cited by:

    1. Bratsos, A.G., 2009. "A predictor–corrector scheme for the improved Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2083-2094.

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