Nonlinear waves in a quintic FitzHugh–Nagumo model with cross diffusion: Fronts, pulses, and wave trains
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Publication:3388685
DOI10.1063/5.0043919zbMath1460.35202OpenAlexW3138075436MaRDI QIDQ3388685
M. A. Tsyganov, Evgeny P. Zemskov, Werner Horsthemke, Klaus Kassner
Publication date: 6 May 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0043919
Reaction-diffusion equations (35K57) Soliton solutions (35C08) Pattern formations in context of PDEs (35B36)
Related Items (2)
On Integrability of the FitzHugh – Rinzel Model ⋮ Cross-diffusion effects on stationary pattern formation in the Fitzhugh-Nagumo model
Cites Work
- Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
- Snakes and ladders: localized states in the Swift-Hohenberg equation
- ``Traveling wave solutions of FitzHugh model with cross-diffusion
- Localized patterns for the quintic complex Swift-Hohenberg equation
- Nagumo's equation
- Propagation Phenomena in a Bistable Reaction-Diffusion System
- Multisoliton Solutions of the Complex Ginzburg-Landau Equation
- Random walks of trains of dissipative solitons
- Traveling Waves Impulses of FitzHugh Model with Diffusion and Cross-Diffusion
- OSCILLATING LOCALIZED STRUCTURES IN REACTION–DIFFUSION SYSTEMS
- Solitary waves in excitable systems with cross-diffusion
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