Diversity of traveling wave solutions in Fitzhugh-Nagumo type equations

DOI10.1016/j.jde.2009.03.023zbMath1172.34030OpenAlexW1985682083MaRDI QIDQ1029151

Cheng-Hsiung Hsu, Chi-Ru Yang, Ting-Hui Yang

Publication date: 9 July 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.023

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach ⋮ Fast-slow dynamics for intraguild predation models with evolutionary effects ⋮ Theory of Invariant Manifolds for Infinite-Dimensional Nonautonomous Dynamical Systems and Applications ⋮ Traveling pulses of coupled Fitzhugh-Nagumo equations with doubly-diffusive effect ⋮ Existence results of solitary wave solutions for a delayed Camassa-Holm-KP equation ⋮ Solitary wave solutions of delayed coupled Higgs field equation ⋮ Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes

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