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

Chih-Chiang Huang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/735675

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:735675

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