Chinese Journal of Quantum Electronics, Volume. 26, Issue 6, 654(2009)

Equivalence transformation for the Camassa-Holm equation

[in Chinese]* and [in Chinese]
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    References(8)

    [1] [1] Camassa R, Holm D D. An integrable shallow water equation with peaked solitons [J]. Phys. Rev. Lett., 1993, 71: 1661-1664.

    [2] [2] Constantin A. Existence of permanent and breaking waves for a shallow water equation: a geometric approach [J]. Ann. Inst. Fourier (Grenoble), 2000, 50: 321-362.

    [3] [3] Constantin A, Escher J. Wave breaking for nonlinear nonlocal shallow water equations [J]. Acta Mathematica, 1998, 181: 229-243.

    [4] [4] Liu Zhengrong, Long Yao. Compacton-like wave and kink-like wave of GCH equation [J]. Nonlinear Analysis: Real World Applications, 2007, 8: 136-155.

    [5] [5] Qian Tifei, Tang Minying. Peakons and periodic cusp waves in a generalized Camassa-Holm equation [J]. Chaos, Solitons and Fractals, 2001, 12: 1347-1360.

    [6] [6] Abdul-Majid Wazwaz. Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes [J]. Applied Mathematics and Computation, 2006, 182: 412-424.

    [7] [7] Lou Senyue, Ma Hongcai. Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method [J]. Journal of Physics A: Mathematical and General, 2005, 38: 129-137.

    [8] [8] Ma Hongcai. A simple method to generate Lie point symmetry groups of the (3+1)- dimensional Jimbo-Miwa equation [J]. Chinese Physics Letters, 2005, 22: 554-557.

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    [in Chinese], [in Chinese]. Equivalence transformation for the Camassa-Holm equation[J]. Chinese Journal of Quantum Electronics, 2009, 26(6): 654

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    Paper Information

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    Received: Nov. 5, 2008

    Accepted: --

    Published Online: May. 24, 2010

    The Author Email: (qyanhong318@163.com)

    DOI:

    CSTR:32186.14.

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