Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation
Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced equations are also pointed out. And conservat...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/476025 |
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| author | Mehdi Nadjafikhah Mostafa Hesamiarshad |
| author_facet | Mehdi Nadjafikhah Mostafa Hesamiarshad |
| author_sort | Mehdi Nadjafikhah |
| collection | DOAJ |
| description | Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced equations are also pointed out. And conservation laws of the J-M equation are presented with two steps: firstly, finding multipliers for computation of conservation laws and, secondly, symbolic computation of conservation laws will be applied. |
| format | Article |
| id | doaj-art-0e313720f470438cb6a5822b2c1cb22c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e313720f470438cb6a5822b2c1cb22c2025-02-03T07:25:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/476025476025Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek EquationMehdi Nadjafikhah0Mostafa Hesamiarshad1Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj 31485-313, IranDepartment of Mathematics, Islamic Azad University, Karaj Branch, Karaj 31485-313, IranLie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced equations are also pointed out. And conservation laws of the J-M equation are presented with two steps: firstly, finding multipliers for computation of conservation laws and, secondly, symbolic computation of conservation laws will be applied.http://dx.doi.org/10.1155/2014/476025 |
| spellingShingle | Mehdi Nadjafikhah Mostafa Hesamiarshad Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation Abstract and Applied Analysis |
| title | Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation |
| title_full | Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation |
| title_fullStr | Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation |
| title_full_unstemmed | Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation |
| title_short | Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation |
| title_sort | analysis of the symmetries and conservation laws of the nonlinear jaulent miodek equation |
| url | http://dx.doi.org/10.1155/2014/476025 |
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