On multidimensional exact solutions of a nonlinear reaction-diffusion system

We study a multidimensional case of nonlinear reaction-diffusion system modeled by two parabolic equations with power nonlinearities. Such systems can be used to simulate the process propagation in space interacting distributed formations robots types. also describe processes diffusion reacting two-component continuous media. An original version reduction method is proposed, which reduces construction dependence exact solution on spatial variables Helmholtz equation, and time linear ordinary differential equations. A number examples multiparameter families solutions given elementary functions are constructed.