Conditional Lie Bäcklund Symmetries and Sign‐Invariants to Quasi‐Linear Diffusion Equations

DOI10.1111/J.1467-9590.2007.00388.XOpenAlexW2075090510MaRDI QIDQ6123657

Chang-Zheng Qu, Li-na Ji, Li-zhen Wang

Publication date: 6 April 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2007.00388.x

Mathematics Subject Classification ID

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) Infinite-dimensional dissipative dynamical systems (37L99)

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Conditional Lie-Bäcklund symmetry reductions and exact solutions of a class of reaction-diffusion equations ⋮ Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion 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 ⋮ Third-order conditional Lie-Bäcklund symmetries of nonlinear reaction-diffusion equations ⋮ Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators

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