Chinese Journal of Quantum Electronics, Volume. 26, Issue 2, 138(2009)

Differential invariants and group classification of KdV-Burgers equation

Mei-yu GUO*... Xi-qiang LIU and Jie GAO |Show fewer author(s)
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    By using Lie’s invariance infinitesimal criterion, the continuous equivalence transformations of a class of nonlinear KdV-Burgers equations with variable coefficients are obtained. The differential invariants of order 1 are constructed and the group classification are made starting from the equivalence algebra. At last some general class of variable coefficient nonlinear KdV-Burgers equations are mapped to constant-coefficient Burgers equation, KdV equation and KdV-Burgers equation. In particular, some exact solutions of the variable coefficients KdV-Burgers equation are obtained.

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    GUO Mei-yu, LIU Xi-qiang, GAO Jie. Differential invariants and group classification of KdV-Burgers equation[J]. Chinese Journal of Quantum Electronics, 2009, 26(2): 138

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    Paper Information

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    Received: Apr. 22, 2008

    Accepted: --

    Published Online: May. 24, 2010

    The Author Email: Mei-yu GUO (skyguomeiyu@163.com)

    DOI:

    CSTR:32186.14.

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