Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients

DOI10.1016/j.amc.2018.10.092zbMath1428.35171OpenAlexW2901942125WikidataQ128881731 ScholiaQ128881731MaRDI QIDQ2008508

Andrei D. Polyanin

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.092

zbMATH Keywords

exact solutionsnonlinear reaction-diffusion equationsequations with variable coefficientsreaction-diffusion equations with delayfunctional separable solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (11)

On one method for constructing exact solutions of nonlinear equations of mathematical physics ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Traveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integrals ⋮ Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method ⋮ 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 ⋮ Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials ⋮ Functional separable solutions of two classes of nonlinear mathematical physics equations ⋮ Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations

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