Volume 5, Issue 6, December 2016, Page: 174-180
Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water
Baodan Tian, School of science, Southwest University of Science and Technology, Mianyang, China
Yanhong Qiu, School of science, Southwest University of Science and Technology, Mianyang, China
Received: Sep. 2, 2016;       Accepted: Sep. 18, 2016;       Published: Oct. 17, 2016
DOI: 10.11648/j.pamj.20160506.11      View  3037      Downloads  157
Abstract
In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear Whitham- Broer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references.
Keywords
Whitham-Broer-Kaup Equations, Direct Method, Equivalence Transformation, Symmetry, Explicit Solutions
To cite this article
Baodan Tian, Yanhong Qiu, Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water, Pure and Applied Mathematics Journal. Vol. 5, No. 6, 2016, pp. 174-180. doi: 10.11648/j.pamj.20160506.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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