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Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. (English) Zbl 0972.35062

Summary: A Jacobi elliptic function expansion method, which is more general than the hyperbolic tangent function expansion method, is proposed to construct the exact periodic solutions of nonlinear wave equations. It is shown that the periodic solutions obtained by this method include some shock wave solutions and solitary wave solutions.

MSC:

35L05 Wave equation
35L70 Second-order nonlinear hyperbolic equations
35A08 Fundamental solutions to PDEs
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References:

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