New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities

Details New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities

2008-05-09

arxiv.org/abs/0805.1286v1

J. Phys. A: Math. Theor. 41 (2008) 185208 (14pp)

Physics

Mathematical Physics

14 pages, 4 figures

Scientific paper

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
development of spatially inhomogeneous structures is discussed.

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