Solitary waves in the model of active media, taking into account effects of relaxation

DOI10.1016/S0034-4877(15)30004-5zbMath1320.35147arXiv1407.4929OpenAlexW3104438254MaRDI QIDQ2349733

Yanyan Li

Publication date: 17 June 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4929

zbMATH Keywords

soliton-like solutionsFitzHugh-Nagumo systemlocalized traveling wave solutionseffects of memorymedia with internal structure

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Soliton solutions (35C08)

Related Items (2)

Hopf bifurcations on invariant manifolds of a modified FitzHugh-Nagumo model ⋮ Existence of the solitary wave solutions supported by the modified FitzHugh–Nagumo system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Towards an approximation of solitary-wave solutions of nonintegrable evolutionary PDEs via symmetry and qualitative analysis
• Exact travelling wave solutions of some nonlinear evolutionary equations
• On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation
• Spectral and dynamical stability of nonlinear waves
• Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation
• Double Impulse Solutions in Nerve Axon Equations
• The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System
• The Analyticity of the Roots of a Polynomial as Functions of the Coefficients

This page was built for publication: Solitary waves in the model of active media, taking into account effects of relaxation