Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations
In this paper, the Lie symmetries of the Jaulent-Miodek (JM) equations are calculated and one dimensional optimal systems of Lie algebra are obtained. Furthermore, the conservation laws are constructed by using the adjoint equation method. Finally, the exact solutions of the equations are obtained b...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/10/1319 |
| _version_ | 1818008383661277184 |
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| author | Jian-Ting Pei Yu-Shan Bai |
| author_facet | Jian-Ting Pei Yu-Shan Bai |
| author_sort | Jian-Ting Pei |
| collection | DOAJ |
| description | In this paper, the Lie symmetries of the Jaulent-Miodek (JM) equations are calculated and one dimensional optimal systems of Lie algebra are obtained. Furthermore, the conservation laws are constructed by using the adjoint equation method. Finally, the exact solutions of the equations are obtained by the conservation laws. |
| first_indexed | 2024-04-14T05:28:35Z |
| format | Article |
| id | doaj.art-bef59d6eac7f4ceba9488967e7acc678 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T05:28:35Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bef59d6eac7f4ceba9488967e7acc6782022-12-22T02:09:53ZengMDPI AGSymmetry2073-89942019-10-011110131910.3390/sym11101319sym11101319Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek EquationsJian-Ting Pei0Yu-Shan Bai1Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010000, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010000, ChinaIn this paper, the Lie symmetries of the Jaulent-Miodek (JM) equations are calculated and one dimensional optimal systems of Lie algebra are obtained. Furthermore, the conservation laws are constructed by using the adjoint equation method. Finally, the exact solutions of the equations are obtained by the conservation laws.https://www.mdpi.com/2073-8994/11/10/1319jaulent-miodek equationslie symmetriesoptimal systemsconservation lawsexact solutions |
| spellingShingle | Jian-Ting Pei Yu-Shan Bai Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations Symmetry jaulent-miodek equations lie symmetries optimal systems conservation laws exact solutions |
| title | Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations |
| title_full | Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations |
| title_fullStr | Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations |
| title_full_unstemmed | Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations |
| title_short | Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations |
| title_sort | lie symmetries conservation laws and exact solutions for jaulent miodek equations |
| topic | jaulent-miodek equations lie symmetries optimal systems conservation laws exact solutions |
| url | https://www.mdpi.com/2073-8994/11/10/1319 |
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