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

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Listed:
  • Xinyang Wang
  • Junquan Song

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.

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, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3916814
    DOI: 10.1155/2018/3916814
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    References listed on IDEAS

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