Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in RN

الملخص EN

This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system (FHN) in RN for the two components u and v.

By solving v in terms of u, this system can be reduced to a nonlocal single equation for u.

When the diffusion coefficients in the system are equal, we construct travelling wave solutions for the non-local equation by the method of super- and subsolutions developed by Morita and Ninomiya (2008) Moreover, we propose a condition for γ, which is similar to the condition Reinecke and Sweers (1999) used to transform (FHN) into a quasimonotone system.