Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method
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...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/2008/243459 |
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| author | M. M. Rashidi D. D. Ganji S. Dinarvand |
| author_facet | M. M. Rashidi D. D. Ganji S. Dinarvand |
| author_sort | M. M. Rashidi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-84fc994b6e10492cbe4255b642a93809 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-84fc994b6e10492cbe4255b642a938092025-02-03T01:01:15ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022008-01-01200810.1155/2008/243459243459Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis MethodM. M. Rashidi0D. D. Ganji1S. Dinarvand2Department of Mechanical Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan 65174-4161, IranDepartment of Mechanical Engineering, Faculty of Engineering, Mazandaran University, P.O. Box 484, Babol 47415, IranDepartment of Mechanical Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan 65174-4161, IranThe 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.http://dx.doi.org/10.1155/2008/243459 |
| spellingShingle | M. M. Rashidi D. D. Ganji S. Dinarvand Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method Differential Equations and Nonlinear Mechanics |
| title | Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method |
| title_full | Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method |
| title_fullStr | Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method |
| title_full_unstemmed | Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method |
| title_short | Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method |
| title_sort | approximate traveling wave solutions of coupled whitham broer kaup shallow water equations by homotopy analysis method |
| url | http://dx.doi.org/10.1155/2008/243459 |
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