期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 289, 期 -, 页码 111-131出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2016.04.014
关键词
Extended auxiliary equation method; Jacobi elliptic function solutions; Solitary wave solutions; Trigonometric solutions; Nonlinear PDEs in mathematical physics
In this paper, we extended the auxiliary equation method proposed by Sirendaoreji and Kudryashov to construct new types of Jacobi elliptic function solutions of nonlinear partial differential equations (PDEs) in mathematical physics. The effectiveness of the extended method is demonstrated by applications to three nonlinear PDEs, namely, the (2+1)-dimensional nonlinear cubic-quintic Ginzburg-Landau equation, the (1+1)-dimensional resonant nonlinear Schrodinger's equation with dual-power law nonlinearity and the generalized Zakharov system of equations. The solitary wave solutions or trigonometric functions solutions are obtained from the Jacobi elliptic function solutions when the modulus of the Jacobi elliptic functions approaches to one or zero, respectively. Comparison between our new results and the well-known results is given. (C) 2016 Elsevier Inc. All rights reserved.
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