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Modified homogeneous balance method: Applications and new solutions

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  • Nguyen, Lu Trong Khiem

Abstract

This work is devoted to application of the modified homogeneous balance method to obtain generalized bilinear forms of some well-known soliton equations: the Korteweg de Vries equation, the scalar Boussinesq equation and the Kaup–Boussinesq equations. These bilinear forms are solved for new solutions using the perturbation method and the principle of superposition.

Suggested Citation

  • Nguyen, Lu Trong Khiem, 2015. "Modified homogeneous balance method: Applications and new solutions," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 148-155.
    • Handle: RePEc:eee:chsofr:v:73:y:2015:i:c:p:148-155
    DOI: 10.1016/j.chaos.2015.01.017
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.
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