Monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system in \(\mathbb{R}^N\)

DOI10.1155/2012/735675zbMath1246.35160OpenAlexW2090891748WikidataQ58696687 ScholiaQ58696687MaRDI QIDQ448796

Chih-Chiang Huang

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/735675

zbMATH Keywords

travelling wave solutionsdiffusive FitzHugh-Nagumo-type system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57)

Cites Work

• Unnamed Item
• Existence and global stability of traveling curved fronts in the Allen-Cahn equations
• Heteroclinic connections for multidimensional bistable reaction-diffusion equations
• Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry
• Existence of standing pulse solutions for an excitable activator- inhibitory system
• A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type
• Existence and qualitative properties of multidimensional conical bistable fronts
• Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems
• Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations
• Stationary Wave Solutions of a System of Reaction-Diffusion Equations Derived from the FitzHugh–Nagumo Equations
• Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
• Large Amplitude Stationary Waves in an Excitable Lateral-Inhibitory Medium
• Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations

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