New \(Q\)-conditional symmetries and exact solutions of some reaction-diffusion-convection equations arising in mathematical biology

DOI10.1016/j.jmaa.2006.03.026zbMath1160.35031OpenAlexW2003192238MaRDI QIDQ865299

Roman M. Cherniha

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.026

zbMATH Keywords

conditional symmetryreaction-diffusion-convection equationreduced equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (18)

Approximate Q-conditional symmetries of partial differential equations ⋮ A consistent approach to approximate Lie symmetries of differential equations ⋮ Symmetry solutions for reaction-diffusion equations with spatially dependent diffusivity ⋮ Conditional symmetries and exact solutions of one reaction-diffusion-convection equation ⋮ Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities ⋮ New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities ⋮ On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation ⋮ Non-Lie symmetry groups and new exact solutions of a \((2+1)\)-dimensional generalized Broer-Kaup system ⋮ Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions ⋮ A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations ⋮ Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system ⋮ The Bäcklund transformations and abundant exact explicit solutions for a general nonintegrable nonlinear convection-diffusion equation ⋮ Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source ⋮ Nonclassical symmetry solutions for non-autonomous reaction-diffusion equations ⋮ Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations ⋮ Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source

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