Soliton‐like regimes,echo and concave spiral waves in mathematical models of biological excitable media

On the basis of numerical simulations with partial reaction‐diffusion equations describing the dynamics of electrical processes in biological excitable tissues, such as a nerve axons and cardiac Purkinje fibers, we have revealed unusual – soliton‐like – regimes of interaction of propagating nonlinear excitation waves: reflection of the colliding waves instead of their annihilation. The specific nature of wave dynamics due to the reflection effects in two‐dimensional excitable media is considered.