Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations

DOI10.1016/j.cnsns.2015.11.019zbMath1470.35017OpenAlexW2183245705MaRDI QIDQ2198816

Hanze Liu

Publication date: 15 September 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.11.019

zbMATH Keywords

exact solutionnonlinear diffusion equationrecursion operatorgeneralized symmetryintegrable property

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Quasilinear parabolic equations (35K59)

Related Items (8)

Non-auto Bäcklund transformation, nonlocal symmetry and CRE solvability for the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Group analysis to the time fractional nonlinear wave equation ⋮ Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations ⋮ Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation ⋮ On integrability of the time fractional nonlinear heat conduction equation ⋮ Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system ⋮ Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations ⋮ ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS

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