Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation
We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conser...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/548975 |
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| _version_ | 1832551437789298688 |
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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 study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the (2+1)-dimensional Boussinesq equation. |
| format | Article |
| id | doaj-art-08b9278277ac4ac7828061d47bd1078d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-08b9278277ac4ac7828061d47bd1078d2025-02-03T06:01:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/548975548975Solutions and Conservation Laws of a (2+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 study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the (2+1)-dimensional Boussinesq equation.http://dx.doi.org/10.1155/2013/548975 |
| spellingShingle | Letlhogonolo Daddy Moleleki Chaudry Masood Khalique Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation Abstract and Applied Analysis |
| title | Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation |
| title_full | Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation |
| title_fullStr | Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation |
| title_full_unstemmed | Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation |
| title_short | Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation |
| title_sort | solutions and conservation laws of a 2 1 dimensional boussinesq equation |
| url | http://dx.doi.org/10.1155/2013/548975 |
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