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2013 New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations
Baojian Hong, Dianchen Lu
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/170835

Abstract

A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct more new exact solutions for coupled Schrödinger-Boussinesq equations. As a result, several families of new generalized Jacobi elliptic function wave solutions are obtained by using this method, some of them are degenerated to solitary wave solutions and trigonometric function solutions in the limited cases, which shows that the general method is more powerful than plenty of traditional methods and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.

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Baojian Hong. Dianchen Lu. "New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/170835

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950540
MathSciNet: MR3115292
Digital Object Identifier: 10.1155/2013/170835

Rights: Copyright © 2013 Hindawi

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