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Variational approach to higher-order water-wave equations

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  • Wu, Yue

Abstract

A family of variational principles is obtained for the high-order water-wave problem by the semi-inverse method proposed by Ji-Huan He. A new water-wave equation is deduced from the obtained variational principle.

Suggested Citation

  • Wu, Yue, 2007. "Variational approach to higher-order water-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 195-198.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:195-198
    DOI: 10.1016/j.chaos.2006.05.019
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    References listed on IDEAS

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    1. Zhang, Zhengdi & Bi, Qinsheng & Wen, Jianping, 2005. "Bifurcations of traveling wave solutions for two coupled variant Boussinesq equations in shallow water waves," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 631-643.
    2. Zhang, Juan & Yu, Jian-Yong & Pan, Ning, 2005. "Variational principles for nonlinear fiber optics," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 309-311.
    3. Zheng, Chun-Long & Fang, Jian-Ping & Chen, Li-Qun, 2005. "New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1741-1748.
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    Cited by:

    1. He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
    2. He, Ji-Huan, 2009. "A generalized poincaré-invariant action with possible application in strings and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1667-1670.

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