Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation
We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. Based on discrete symmetries analysis, two groups of dis...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/908975 |
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| _version_ | 1832551507460882432 |
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| author | Hongwei Yang Yunlong Shi Baoshu Yin Huanhe Dong |
| author_facet | Hongwei Yang Yunlong Shi Baoshu Yin Huanhe Dong |
| author_sort | Hongwei Yang |
| collection | DOAJ |
| description | We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. Based on discrete symmetries analysis, two groups of discrete symmetries are obtained, which lead to new exact solutions of the inviscid Burgers equation. |
| format | Article |
| id | doaj-art-033ac372d7ba4843a63a24b0d97b27de |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-033ac372d7ba4843a63a24b0d97b27de2025-02-03T06:01:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/908975908975Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers EquationHongwei Yang0Yunlong Shi1Baoshu Yin2Huanhe Dong3Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaCollege of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaCollege of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaWe discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. Based on discrete symmetries analysis, two groups of discrete symmetries are obtained, which lead to new exact solutions of the inviscid Burgers equation.http://dx.doi.org/10.1155/2012/908975 |
| spellingShingle | Hongwei Yang Yunlong Shi Baoshu Yin Huanhe Dong Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation Discrete Dynamics in Nature and Society |
| title | Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation |
| title_full | Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation |
| title_fullStr | Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation |
| title_full_unstemmed | Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation |
| title_short | Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation |
| title_sort | discrete symmetries analysis and exact solutions of the inviscid burgers equation |
| url | http://dx.doi.org/10.1155/2012/908975 |
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