Abstract and Applied Analysis

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

Chih-Chiang Huang

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Abstract

This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system (FHN) in R N 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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 735675, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495773

Digital Object Identifier
doi:10.1155/2012/735675

Mathematical Reviews number (MathSciNet)
MR2947740

Zentralblatt MATH identifier
1246.35160

Citation

Huang, Chih-Chiang. Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in ${\mathbf{R}}^{N}$. Abstr. Appl. Anal. 2012 (2012), Article ID 735675, 9 pages. doi:10.1155/2012/735675. https://projecteuclid.org/euclid.aaa/1355495773


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