Chinese Journal of Quantum Electronics, Volume. 27, Issue 6, 683(2010)

Explicit and exact solutions to the mBBM and Vakhnenko equations

Peng GUO*... Lei ZHANG, Xiao-yun WANG and Xiao-wei SUN |Show fewer author(s)
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    References(9)

    [1] [1] Ablowitz M J, Clarkson P A. Soliton, Nonlinear Evolution Equations and Inverse Scattering [M]. New York: Cambridge University Press, 1991.

    [2] [2] Hasegawa A. Optical Solitons in Fibers [M]. Berlin: Springer, 1989.

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    [12] [12] Vakhnenko V O, Parkes E J. The two loop soliton solution of the Vakhnenko equation [J]. Nonlinearity, 1998, 11(6): 1457-1464.

    [13] [13] Tso Taicheng. Existence of solutions of the modified Benjamin-Bone-Mahony equation [J]. Chinese Journal of Mathematics, 1996, 24(4): 327-336.

    [14] [14] Vakhnenko V O, Parkes E J. The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method [J]. Chaos, Soliton and Fractals, 2002, 13(9): 1819-1836.

    [15] [15] Yusufoglu E, Bekir A. The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations [J]. Chaos, Soliton and Fractals, 2008, 38(4): 1126-1133.

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    GUO Peng, ZHANG Lei, WANG Xiao-yun, SUN Xiao-wei. Explicit and exact solutions to the mBBM and Vakhnenko equations[J]. Chinese Journal of Quantum Electronics, 2010, 27(6): 683

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    Paper Information

    Received: Feb. 5, 2010

    Accepted: --

    Published Online: Dec. 7, 2010

    The Author Email: Peng GUO (guopenglzjtu@126.com)

    DOI:

    CSTR:32186.14.

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