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, 1-6

Abstract:

The method of conditional Lie-Bäcklund symmetry is applied to solve a class of reaction-diffusion equations , 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3916814

DOI: 10.1155/2018/3916814

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