Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations
The third-order conditional Lie–Bäcklund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations. As a consequence, the exact solutions of the resulting equations are derived due to the compatibility of the governing equations and the ad...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2825416 |
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| _version_ | 1849398217963208704 |
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| author | Keqin Su Jie Cao |
| author_facet | Keqin Su Jie Cao |
| author_sort | Keqin Su |
| collection | DOAJ |
| description | The third-order conditional Lie–Bäcklund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations. As a consequence, the exact solutions of the resulting equations are derived due to the compatibility of the governing equations and the admitted differential constraints, which are resting on the characteristic of the admitted conditional Lie–Bäcklund symmetries to be zero. |
| format | Article |
| id | doaj-art-9ed2580095984c29be062687faf9984f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9ed2580095984c29be062687faf9984f2025-08-20T03:38:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/28254162825416Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion EquationsKeqin Su0Jie Cao1College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, ChinaCollege of Information Science and Technology, Donghua University, Shanghai 201620, ChinaThe third-order conditional Lie–Bäcklund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations. As a consequence, the exact solutions of the resulting equations are derived due to the compatibility of the governing equations and the admitted differential constraints, which are resting on the characteristic of the admitted conditional Lie–Bäcklund symmetries to be zero.http://dx.doi.org/10.1155/2017/2825416 |
| spellingShingle | Keqin Su Jie Cao Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations Advances in Mathematical Physics |
| title | Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations |
| title_full | Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations |
| title_fullStr | Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations |
| title_full_unstemmed | Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations |
| title_short | Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations |
| title_sort | third order conditional lie backlund symmetries of nonlinear reaction diffusion equations |
| url | http://dx.doi.org/10.1155/2017/2825416 |
| work_keys_str_mv | AT keqinsu thirdorderconditionalliebacklundsymmetriesofnonlinearreactiondiffusionequations AT jiecao thirdorderconditionalliebacklundsymmetriesofnonlinearreactiondiffusionequations |