CONSTRUCTING FAMILIES TRAVELING WAVE SOLUTIONS IN TERMS OF SPECIAL FUNCTION FOR THE ASYMMETRIC NIZHNIK–NOVIKOV–VESSELOV EQUATION

Yong Chen () and Qi Wang
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Yong Chen: Department of Mathematics, Ningbo University, Ningbo 315211, China;
Qi Wang: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 04, 595-606

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.

Keywords: Asymmetric Nizhnik–Novikov–Vesselov equation; soliton solution; Weierstrass and Jacobi functions; computerized symbolic system (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006054

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