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Zbl 0977.35094
Fu, Zuntao; Liu, Shikuo; Liu, Shida; Zhao, Qiang
New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. (English)
[J] Phys. Lett., A 290, No.1-2, 72-76 (2001). ISSN 0375-9601

Summary: New Jacobi elliptic functions are applied in the Jacobi elliptic function expansion method to construct the exact periodic solutions of nonlinear wave equations. It is shown that more new periodic solutions can be obtained by this method and more shock wave solutions or solitary wave solutions can be got at their limit condition.

MSC 2000:: *35L70 Second order nonlinear hyperbolic equations
33C45 Orthogonal polynomials and functions of hypergeometric type
35B10 Periodic solutions of PDE
35C10 Series solutions of PDE

Keywords: shock wave solutions; solitary wave solutions; limit condition; Jacobi elliptic function expansion method

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