Compactlike solutions in reaction-diffusion systems: another way to reduce the propagation failure troubles

摘要

We introduce and demonstrate theoretically the existence of discrete compact-like kink solutions in a class of discrete reaction-diffusion systems with a nonlinear coupling. Numerical simulations show that the extent of such solutions is related only to the coupling parameter, and that propagation failure mechanism occurs for nonzero critical coupling value Dc(NL) like for discrete reaction-diffusion systems with linear coupling. We quantify this critical coupling worth and show that the pulses stability in nonlinear coupling regime is more robust than in a linear one. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 15]