New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method
In this paper, a generalized mapping method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. Firstly, some new solutions of an auxiliary ordinary differential equation are introduced. They are then used to generate new exact solutions for the...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
World Academic Publishing
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/48324 |
| _version_ | 1848758077855105024 |
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| author | Hu, Xuegang Wu, Yong Hong Ling, Li |
| author_facet | Hu, Xuegang Wu, Yong Hong Ling, Li |
| author_sort | Hu, Xuegang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a generalized mapping method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. Firstly, some new solutions of an auxiliary ordinary differential equation are introduced. They are then used to generate new exact solutions for the Boussinesq equation. The new solutions are then grouped into ten families and the properties of each family of solutions are demonstrated. We should also emphasize here that the developed method can also be applied to a large variety of nonlinear partial differential equations in physics and mechanics. |
| first_indexed | 2025-11-14T09:38:16Z |
| format | Journal Article |
| id | curtin-20.500.11937-48324 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:38:16Z |
| publishDate | 2013 |
| publisher | World Academic Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-483242017-09-13T14:20:53Z New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method Hu, Xuegang Wu, Yong Hong Ling, Li In this paper, a generalized mapping method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. Firstly, some new solutions of an auxiliary ordinary differential equation are introduced. They are then used to generate new exact solutions for the Boussinesq equation. The new solutions are then grouped into ten families and the properties of each family of solutions are demonstrated. We should also emphasize here that the developed method can also be applied to a large variety of nonlinear partial differential equations in physics and mechanics. 2013 Journal Article http://hdl.handle.net/20.500.11937/48324 10.5963/JBAP0202005 World Academic Publishing restricted |
| spellingShingle | Hu, Xuegang Wu, Yong Hong Ling, Li New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title | New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title_full | New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title_fullStr | New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title_full_unstemmed | New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title_short | New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method |
| title_sort | new traveling wave solutions of the boussinesq equation using a new generalized mapping method |
| url | http://hdl.handle.net/20.500.11937/48324 |