Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation
We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/4270724 |
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| _version_ | 1832566627232645120 |
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| author | Manoj Gaur K. Singh |
| author_facet | Manoj Gaur K. Singh |
| author_sort | Manoj Gaur |
| collection | DOAJ |
| description | We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, some exact solutions of fractional potential Burgers’ equation are generated by the invariant subspace method. |
| format | Article |
| id | doaj-art-96709fcc1fef4e9ba228c1c61781ef2b |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-96709fcc1fef4e9ba228c1c61781ef2b2025-02-03T01:03:38ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/42707244270724Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ EquationManoj Gaur0K. Singh1Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan 173234, IndiaDepartment of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan 173234, IndiaWe investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. With the help of the infinitesimal generators, some group invariant solutions are deduced. Further, some exact solutions of fractional potential Burgers’ equation are generated by the invariant subspace method.http://dx.doi.org/10.1155/2016/4270724 |
| spellingShingle | Manoj Gaur K. Singh Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation International Journal of Differential Equations |
| title | Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation |
| title_full | Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation |
| title_fullStr | Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation |
| title_full_unstemmed | Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation |
| title_short | Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation |
| title_sort | symmetry classification and exact solutions of a variable coefficient space time fractional potential burgers equation |
| url | http://dx.doi.org/10.1155/2016/4270724 |
| work_keys_str_mv | AT manojgaur symmetryclassificationandexactsolutionsofavariablecoefficientspacetimefractionalpotentialburgersequation AT ksingh symmetryclassificationandexactsolutionsofavariablecoefficientspacetimefractionalpotentialburgersequation |