Symmetry in Nonlinear Mathematical Physics - 2009
Oleksii Pliukhin (Institute of Mathematics, Kyiv, Ukraine)
New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities
A wide range of new Q-conditional symmetries for reaction-diffusion systems with power diffusivities are constructed. The relevant non-Lie ansatze to reduce the reaction-diffusion systems to ODE systems and examples of exact solutions are obtained.
The relation of the solutions obtained with the envelopment of spatially inhomogeneous structures is discussed.