Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method. (15th May 2008)

• Record Type: Journal Article
• Authors: Rashidi Rashidi, M. M. M. M.; Ganji Ganji, D. D. D. D.; Dinarvand Dinarvand, S. S.
• Other Names: Liao Liao Shijun Shijun Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2008(2008)
• Publication Date: 2008-05-15
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2008/243459
• Languages: English
• ISSNs: 1687-4099

Abstract

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.