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2008 Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method
M. M. Rashidi, D. D. Ganji, S. Dinarvand
Differ. Equ. Nonlinear Mech. 2008: 1-8 (2008). DOI: 10.1155/2008/243459

Abstract

The homotopy analysis method (HAM) is applied to obtain the approximate traveling wave solutions of the coupled Whitham-Broer-Kaup (WBK) equations in shallow water. Comparisons are made between the results of the proposed method and exact solutions. The results show that the homotopy analysis method is an attractive method in solving the systems of nonlinear partial differential equations.

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M. M. Rashidi. D. D. Ganji. S. Dinarvand. "Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method." Differ. Equ. Nonlinear Mech. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/243459

Information

Received: 11 November 2007; Accepted: 6 March 2008; Published: 2008
First available in Project Euclid: 26 January 2017

zbMATH: 1180.35431
MathSciNet: MR2399647
Digital Object Identifier: 10.1155/2008/243459

Rights: Copyright © 2008 Hindawi

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