EXACT AND APPROXIMATE TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS VIA A VARIATIONAL APPROACH

DOI10.1142/S0219530511001807zbMath1221.35093OpenAlexW2043728346MaRDI QIDQ3005968

Robert M. Miura, Marianito R. Rodrigo

Publication date: 10 June 2011

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530511001807

zbMATH Keywords

error estimatesFisher equationNagumo equationmulti-component Lotka-Volterra competition-diffusion system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) Traveling wave solutions (35C07)

Related Items (5)

Reduction and construction of exact solutions for a nonlinear system of the parabolic type ⋮ Variational problems for combustion theory equations ⋮ Multidimensional exact solutions of a nonlinear system of two parabolic equations ⋮ Traveling wave solutions in n-dimensional delayed nonlocal diffusion system with mixed quasimonotonicity ⋮ Reduction, exact solutions, and control design for a certain nonlinear system of parabolic type

Cites Work

• Unnamed Item
• Explicit solutions of Fisher's equation for a special wave speed
• Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms
• Spatial Ecology via Reaction‐Diffusion Equations
• Exact solutions of reaction-diffusion systems and nonlinear wave equations

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