Systems of reaction-convection-diffusion equations invariant under Galilean algebras
From MaRDI portal
Publication:458312
DOI10.1016/J.JMAA.2014.08.018zbMath1304.35039OpenAlexW1976204512MaRDI QIDQ458312
T. O. Karpaliuk, Inna V. Rassokha, Mykola Serov, Oleksii Pliukhin
Publication date: 7 October 2014
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.2014.08.018
Related Items (4)
A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling ⋮ Lie symmetries of the Shigesada-Kawasaki-Teramoto system ⋮ Nonlocal ansätze, reduction and some exact solutions for the system of the van der Waals equations ⋮ Nonlocal symmetries of the system of chemotaxis equations with derivative nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
- Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations
- Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems
- Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I
- Nonlocal symmetries. Heuristic approach
- Difference schemes for solving the generalized nonlinear Schrödinger equation
- The global attractor of a dissipative nonlinear evolution system
- On convergence and stability of difference schemes for nonlinear Schrödinger type equations
- Nonlinear systems of the Burgers-type equations: Lie and \(Q\)-conditional symmetries, ansätze and solutions.
- Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. II
- Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations
- Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
- Systems of reaction diffusion equations and their symmetry properties
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- On invariant solutions of the equation of non-linear heat conduction with a source
- Classification of linear representations of the Galilei, Poincaré, and conformal algebras in the case of a two-dimensional vector field and their applications
- A new class of solutions to a generalized nonlinear Schrödinger equation
- On Convergence and Stability of the Explicit Difference Method for Solution of Nonlinear Schrödinger Equations
- Lie symmetries of nonlinear multidimensional reaction diffusion systems: II
- Realizations of real low-dimensional Lie algebras
- Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
- Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term
- Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
This page was built for publication: Systems of reaction-convection-diffusion equations invariant under Galilean algebras
