Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water
Pure and Applied Mathematics Journal
Volume 5, Issue 6, December 2016, Pages: 174-180
Received: Sep. 2, 2016; Accepted: Sep. 18, 2016; Published: Oct. 17, 2016
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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
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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.
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 © 2016 Authors retain the copyright of this article.
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