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Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations

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  • Keqin Su
  • Jie Cao

Abstract

The third-order conditional Lie–Bäcklund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations. As a consequence, the exact solutions of the resulting equations are derived due to the compatibility of the governing equations and the admitted differential constraints, which are resting on the characteristic of the admitted conditional Lie–Bäcklund symmetries to be zero.

Suggested Citation

  • Keqin Su & Jie Cao, 2017. "Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-9, February.
    • Handle: RePEc:hin:jnlamp:2825416
    DOI: 10.1155/2017/2825416
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