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A direct algebraic method applied to obtain complex solutions of some nonlinear partial differential equations

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  • Zhang, Huiqun

Abstract

By using some exact solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the NLS equation, a new Hamiltonian amplitude equation, the coupled Schrodinger–KdV equations and the Hirota–Maccari equations. New exact complex solutions are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1020-1026
    DOI: 10.1016/j.chaos.2007.03.002
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    References listed on IDEAS

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    1. Wang, Mingliang & Li, Xiangzheng, 2005. "Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1257-1268.
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    Cited by:

    1. 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.

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