Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations

DOI10.1063/1.2795216zbMath1152.81491OpenAlexW2062328616MaRDI QIDQ3544488

Chang-Zheng Qu, Li-na Ji

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2795216

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Reaction-diffusion equations (35K57) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (12)

Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ Conditional Lie-Bäcklund symmetries to inhomogeneous nonlinear diffusion equations ⋮ Conditional Lie-Bäcklund Symmetry of Evolution System and Application for Reaction-Diffusion System ⋮ Generalized conditional symmetries of evolution equations ⋮ New maximal dimension of invariant subspaces to coupled systems with two-component equations ⋮ Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations ⋮ Conditional Lie-Bäcklund symmetries and sign-invariants to second-order evolution equations ⋮ Conditional Lie-Bäcklund symmetries and reductions of the nonlinear diffusion equations with source ⋮ Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system ⋮ Conditional Lie-Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source ⋮ Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations ⋮ Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source

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