A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation

DOI10.1016/J.NONRWA.2009.10.016zbMath1195.35010OpenAlexW2091512304MaRDI QIDQ984583

Robert A. van Gorder, Kuppalapalle Vajravelu

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.10.016

zbMATH Keywords

approximate solutionsvariational techniqueone space dimension

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Variational methods applied to PDEs (35A15) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Unnamed Item
• Accurate computation of traveling wave solutions of some nonlinear diffusion equations
• Analytical and numerical solutions of the density dependent diffusion Nagumo equation
• Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
• New exact solutions to the Fitzhugh-Nagumo equation
• Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
• Wave speeds of density dependent Nagumo diffusion equations, inspired by oscillating gap-junction conductance in the islets of Langerhans
• Turning points and traveling waves in Fitzhugh--Nagumo type equations

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