Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation
We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method. The solutions obtained are traveling wave solutions. Mor...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/672679 |
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| author | Letlhogonolo Daddy Moleleki Chaudry Masood Khalique |
| author_facet | Letlhogonolo Daddy Moleleki Chaudry Masood Khalique |
| author_sort | Letlhogonolo Daddy Moleleki |
| collection | DOAJ |
| description | We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method. The solutions obtained are traveling wave solutions. Moreover, we construct the conservation laws of the (3+1)-dimensional Boussinesq equation using the new conservation theorem, which is due to Ibragimov. |
| format | Article |
| id | doaj-art-22b829b9c6cc454b90072c457be05a9e |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-22b829b9c6cc454b90072c457be05a9e2025-08-20T02:04:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/672679672679Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq EquationLetlhogonolo Daddy Moleleki0Chaudry Masood Khalique1International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaWe analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method. The solutions obtained are traveling wave solutions. Moreover, we construct the conservation laws of the (3+1)-dimensional Boussinesq equation using the new conservation theorem, which is due to Ibragimov.http://dx.doi.org/10.1155/2014/672679 |
| spellingShingle | Letlhogonolo Daddy Moleleki Chaudry Masood Khalique Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation Advances in Mathematical Physics |
| title | Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation |
| title_full | Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation |
| title_fullStr | Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation |
| title_full_unstemmed | Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation |
| title_short | Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation |
| title_sort | symmetries traveling wave solutions and conservation laws of a 3 1 dimensional boussinesq equation |
| url | http://dx.doi.org/10.1155/2014/672679 |
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