Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients

DOI10.1016/j.aml.2018.10.012zbMath1407.35047OpenAlexW2898558120WikidataQ129078519 ScholiaQ129078519MaRDI QIDQ1726580

Andrei D. Polyanin

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.012

zbMATH Keywords

exact solutionsone space dimensionequations with variable coefficientsfunctional separable solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)

Related Items (6)

Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ A method for constructing exact solutions of nonlinear delay PDEs ⋮ New exact solutions of nonlinear wave type PDEs with delay ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations

Cites Work

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• Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
• Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions
• Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
• Splitting in systems of PDEs for two-phase multicomponent flow in porous media
• Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
• Exact solutions of a family of Fisher equations
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Separation of variables for the 1-dimensional nonlinear diffusion equation
• Analytical properties of the perturbed FitzHugh-Nagumo model
• Separation of variables of a generalized porous medium equation with nonlinear source.
• Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations
• Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations
• Nonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions
• Nonlinear reaction-diffusion systems. Conditional symmetry, exact solutions and their applications in biology
• On the complete group classification of the reaction-diffusion equation with a delay
• Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence
• On nonclassical symmetries of generalized Huxley equations
• On invariant solutions of the equation of non-linear heat conduction with a source
• Quasilinear heat equations with first-order sign-invariants and new explicit solutions
• Differential constraints and exact solutions of nonlinear diffusion equations
• Group classification of variable coefficient quasilinear reaction-diffusion equations

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