Conditional Lie-Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction-Diffusion Equations
| Autor: | Xinyang Wang, Junquan Song |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Advances in Mathematical Physics, Vol 2018 (2018) |
| Druh dokumentu: | article |
| ISSN: | 1687-9120 1687-9139 |
| DOI: | 10.1155/2018/3916814 |
| Popis: | The method of conditional Lie-Bäcklund symmetry is applied to solve a class of reaction-diffusion equations ut+uxx+Qxux2+Pxu+Rx=0, which have wide range of applications in physics, engineering, chemistry, biology, and financial mathematics theory. The resulting equations are either solved exactly or reduced to some finite-dimensional dynamical systems. The exact solutions obtained in concrete examples possess the extended forms of the separation of variables. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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