Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms

DOI10.1134/S0037446617040085zbMath1387.35084MaRDI QIDQ1675175

Edward Ivanovich Semenov, Alexander Arkad'evich Kosov

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

exact solutionreaction-diffusion systemnonlinear diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Solutions to PDEs in closed form (35C05) Quasilinear parabolic equations (35K59)

Related Items

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 ⋮ MULTI–DIMENSIONAL SECOND–ORDER DIFFERENTIAL EQUATIONS WITH QUADRATIC FORM ON THE FIRST DERIVATIVES ⋮ On exact solutions of a multidimensional system of elliptic equations with power-law nonlinearities ⋮ On periodic solutions of a nonlinear reaction-diffusion system ⋮ 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

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