On exact multidimensional solutions of a nonlinear system of reaction-diffusion equations

DOI10.1134/S0012266118010093zbMath1403.35134OpenAlexW2802736128MaRDI QIDQ1649470

Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 6 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118010093

zbMATH Keywords

parabolic system, exact solutionquasilinear reaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (8)

On exact multidimensional solutions to a nonlinear system of fourth-order hyperbolic equations ⋮ Reduction method and new exact solutions of the multidimensional nonlinear heat equation ⋮ New exact solutions of the diffusion equation with power nonlinearity ⋮ Polylinear differential realization of deterministic dynamic chaos in the class of higher order equations with delay ⋮ On exact solutions of a multidimensional system of elliptic equations with power-law nonlinearities ⋮ Anisotropic Solutions of a Nonlinear Kinetic Model of Elliptic Type ⋮ On exact multidimensional solutions of a nonlinear system of first order partial differential equations ⋮ Multidimensional exact solutions of a system of nonlinear Boussinesq type equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
• Exact nonnegative solutions to the multidimensional nonlinear diffusion equation
• The construction of exact solutions of the multidimensional quasilinear heat-conduction equation
• Non-self-similar solutions of multidimensional nonlinear diffusion equations
• Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I
• Non-stationary dissipative structures in a non-linear heat-conducting medium
• New exact solutions of parabolic equations with quadratic non-linearities
• EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS
• New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics
• Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II

This page was built for publication: On exact multidimensional solutions of a nonlinear system of reaction-diffusion equations