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Constructing Families Traveling Wave Solutions In Terms Of Special Function For The Asymmetric Nizhnik–Novikov–Vesselov Equation

Author

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  • YONG CHEN

    (Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;
    MM Key Laboratory, Chinese Academy of Sciences, Beijing 100080, China)

  • QI WANG

    (Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;
    MM Key Laboratory, Chinese Academy of Sciences, Beijing 100080, China)

Abstract

By means of a more general ansatz and the computerized symbolic systemMaple, a generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear evolution equations (NLEEs) is presented. We not only successfully recover the previously-known traveling wave solutions found by Fan's method, but also obtain some general traveling wave solutions in terms of the special function for the asymmetric Nizhnik–Novikov–Vesselov equation.

Suggested Citation

  • Yong Chen & Qi Wang, 2004. "Constructing Families Traveling Wave Solutions In Terms Of Special Function For The Asymmetric Nizhnik–Novikov–Vesselov Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 595-606.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:04:n:s0129183104006054
    DOI: 10.1142/S0129183104006054
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