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Nonlinear transform and Jacobi elliptic function solutions of nonlinear equations. (English) Zbl 1049.35076

Summary: The nondegenerative elliptic function solutions of some nonlinear equations are obtained by a nonlinear transform, which names the Jacobi elliptic function expansion. When taking particular parameters, the elliptic function solutions can degenerate as solitary wave solutions and singularity solutions.

MSC:

35G20 Nonlinear higher-order PDEs
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35C05 Solutions to PDEs in closed form
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References:

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