Conditional Lie‐Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction‐Diffusion Equations

Xinyang Wang and Junquan Song

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: 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.

Date: 2018
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https://doi.org/10.1155/2018/3916814

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3916814

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