Conditional Lie Bäcklund symmetries of nonlinear diffusion equations

Abstract:
Exact solutions play important role in the study of nonlinear parabolic equations. Conditional Lie Bäckund symmetry is a powerful method for this purpose. In this talk, we study the conditional Lie Bäcklund symmetries of nonlinear parabolic equations. The relationship of the approach with other methods such as functional variable separation, invariant space method, geometric properties etc is discussed.