Symmetry Reduction and Exact Solutions of a Class of Wave Equations
In this paper, the Lie symmetries and similarity reduction of a class of wave equations are investigated. First, Lie algorithm is used to get the determining equations of symmetry for the given equations which are complicated and difficult to be solved. Next, differential form of Wu’s method is used...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2021-01-01
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| Series: | Journal of Applied and Computational Mechanics |
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| Online Access: | https://jacm.scu.ac.ir/article_15879_4d38eab3795f787e065fcb4d8be787e2.pdf |
| _version_ | 1818675565738065920 |
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| author | Yi Tian |
| author_facet | Yi Tian |
| author_sort | Yi Tian |
| collection | DOAJ |
| description | In this paper, the Lie symmetries and similarity reduction of a class of wave equations are investigated. First, Lie algorithm is used to get the determining equations of symmetry for the given equations which are complicated and difficult to be solved. Next, differential form of Wu’s method is used to solve this problem. Moreover, a special case of differential invariant method is used to get similarity reduction of the given equations. |
| first_indexed | 2024-12-17T08:29:36Z |
| format | Article |
| id | doaj.art-b503f0796cb04a589443e762135b3d17 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-17T08:29:36Z |
| publishDate | 2021-01-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-b503f0796cb04a589443e762135b3d172022-12-21T21:56:39ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-01-017112813410.22055/jacm.2020.34861.248815879Symmetry Reduction and Exact Solutions of a Class of Wave EquationsYi Tian0College of Data Science and Application, Inner Mongolia University of Technology, Hohhot, 010080, ChinaIn this paper, the Lie symmetries and similarity reduction of a class of wave equations are investigated. First, Lie algorithm is used to get the determining equations of symmetry for the given equations which are complicated and difficult to be solved. Next, differential form of Wu’s method is used to solve this problem. Moreover, a special case of differential invariant method is used to get similarity reduction of the given equations.https://jacm.scu.ac.ir/article_15879_4d38eab3795f787e065fcb4d8be787e2.pdflie algorithmsimilarity reductiondifferential form wu’s method |
| spellingShingle | Yi Tian Symmetry Reduction and Exact Solutions of a Class of Wave Equations Journal of Applied and Computational Mechanics lie algorithm similarity reduction differential form wu’s method |
| title | Symmetry Reduction and Exact Solutions of a Class of Wave Equations |
| title_full | Symmetry Reduction and Exact Solutions of a Class of Wave Equations |
| title_fullStr | Symmetry Reduction and Exact Solutions of a Class of Wave Equations |
| title_full_unstemmed | Symmetry Reduction and Exact Solutions of a Class of Wave Equations |
| title_short | Symmetry Reduction and Exact Solutions of a Class of Wave Equations |
| title_sort | symmetry reduction and exact solutions of a class of wave equations |
| topic | lie algorithm similarity reduction differential form wu’s method |
| url | https://jacm.scu.ac.ir/article_15879_4d38eab3795f787e065fcb4d8be787e2.pdf |
| work_keys_str_mv | AT yitian symmetryreductionandexactsolutionsofaclassofwaveequations |