New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions
With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking o...
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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/10.1155/2014/836737 |
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| _version_ | 1832563581705519104 |
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| author | Lizhen Wang Qing Huang Yanmei Di |
| author_facet | Lizhen Wang Qing Huang Yanmei Di |
| author_sort | Lizhen Wang |
| collection | DOAJ |
| description | With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems. |
| format | Article |
| id | doaj-art-9591722fb3ec4d9da4dd7990bd06fbca |
| 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-9591722fb3ec4d9da4dd7990bd06fbca2025-02-03T01:13:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/836737836737New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant SolutionsLizhen Wang0Qing Huang1Yanmei Di2Center for Nonlinear Studies, Northwest University, Xi’an 710069, ChinaCenter for Nonlinear Studies, Northwest University, Xi’an 710069, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaWith the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.http://dx.doi.org/10.1155/2014/836737 |
| spellingShingle | Lizhen Wang Qing Huang Yanmei Di New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions Abstract and Applied Analysis |
| title | New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions |
| title_full | New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions |
| title_fullStr | New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions |
| title_full_unstemmed | New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions |
| title_short | New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions |
| title_sort | new nonlinear systems admitting virasoro type symmetry algebra and group invariant solutions |
| url | http://dx.doi.org/10.1155/2014/836737 |
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