Conditional Lie-Bäcklund symmetry approach is used to study the invariant subspace of the nonlinear diffusion equations with source , . We obtain a complete list of canonical forms for such equations admit multidimensional invariant subspaces determined by higher order conditional Lie-Bäcklund symmetries. The resulting equations are either solved exactly or reduced to some finite-dimensional dynamic systems.
Junquan Song. Yujian Ye. Danda Zhang. Jun Zhang. "Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source." Abstr. Appl. Anal. 2014 (SI67) 1 - 17, 2014. https://doi.org/10.1155/2014/898032