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

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  • Xinyang Wang
  • Junquan Song

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.

Suggested Citation

  • Xinyang Wang & Junquan Song, 2018. "Conditional Lie-Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction-Diffusion Equations," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-6, July.
  • Handle: RePEc:hin:jnlamp:3916814
    DOI: 10.1155/2018/3916814
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