Conditional Lie-Bäcklund symmetries to inhomogeneous nonlinear diffusion equations

DOI10.1016/j.apm.2014.02.020zbMath1449.35259OpenAlexW2057115101MaRDI QIDQ1632954

Yanmei Di, Jun Zhang, Dan-Da Zhang, Shou-feng Shen

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.02.020

zbMATH Keywords

invariant subspacenonlinear diffusion equationconditional Lie-Bäcklund symmetryfinite-dimensional dynamical system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Cites Work

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• The non-classical solution for the inhomogeneous nonlinear diffusion equation
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
• Nonclassical symmetry reductions of the Boussinesq equation
• Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations
• On nonlinear diffusion equations with \(x\)-dependent convection and absorption
• Generalized conditional symmetries and exact solutions of non-integrable equations
• The construction of special solutions to partial differential equations
• Exact polynomial solutions to some nonlinear diffusion equations
• Conditional Lie-Backlund symmetries and invariant subspaces to non-linear diffusion equations
• New results on group classification of nonlinear diffusion–convection equations
• Exact similarity solutions to some nonlinear diffusion equations
• New similarity reductions of the Boussinesq equation
• Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations
• Group-Invariant Solutions of Differential Equations
• Some exact results for nonlinear diffusion with absorption
• Linearizing mappings for certain nonlinear diffusion equations
• Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
• Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source
• Classification of the Extended Symmetries of the Inhomogeneous Nonlinear Diffusion Equation
• Nonlinear interaction of traveling waves of nonintegrable equations
• Antireduction and exact solutions of nonlinear heat equations
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
• Solutions and symmetry reductions of the n-dimensional non-linear convection-diffusion equations
• Solutions through nonclassical potential symmetries for a generalized inhomogeneous nonlinear diffusion equation
• Symmetries and differential equations