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A new sub-equation method applied to obtain exact travelling wave solutions of some complex nonlinear equations

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  • Zhang, Huiqun

Abstract

By using a new coupled Riccati equations, a direct algebraic method, which was applied to obtain exact travelling wave solutions of some complex nonlinear equations, is improved. And the exact travelling wave solutions of the complex KdV equation, Boussinesq equation and Klein–Gordon equation are investigated using the improved method. The method presented in this paper can also be applied to construct exact travelling wave solutions for other nonlinear complex equations.

Suggested Citation

  • Zhang, Huiqun, 2009. "A new sub-equation method applied to obtain exact travelling wave solutions of some complex nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 911-915.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:911-915
    DOI: 10.1016/j.chaos.2009.02.023
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    References listed on IDEAS

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    1. Zhang, Huiqun, 2009. "A complex ansatz method applied to nonlinear equations of Schrödinger type," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 183-189.
    2. Zhang, Huiqun, 2009. "A direct algebraic method applied to obtain complex solutions of some nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1020-1026.
    3. Li, Y. Charles, 2009. "Simple explicit formulae for finite time blow up solutions to the complex KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 369-372.
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