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Application of homotopy perturbation method to nonlinear wave equations

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  • He, Ji-Huan

Abstract

The homotopy perturbation method is applied to the search for traveling wave solutions of nonlinear wave equations. Some examples are given to illustrate the determination of the periodic solutions or the bifurcation curves of the nonlinear wave equations.

Suggested Citation

  • He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:695-700
    DOI: 10.1016/j.chaos.2005.03.006
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    References listed on IDEAS

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    1. Yao, Yuqin, 2005. "Abundant families of new traveling wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 301-307.
    2. Deng, Shu-fang, 2005. "Bäcklund transformation and soliton solutions for KP equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 475-480.
    3. Pashaev, Oktay & Tanoğlu, Gamze, 2005. "Vector shock soliton and the Hirota bilinear method," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 95-105.
    4. Tsigaridas, G. & Fragos, A. & Polyzos, I. & Fakis, M. & Ioannou, A. & Giannetas, V. & Persephonis, P., 2005. "Evolution of near-soliton initial conditions in non-linear wave equations through their Bäcklund transforms," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1841-1854.
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