Generalized conditional symmetries of evolution equations
From MaRDI portal
Publication:2431240
DOI10.1016/j.jmaa.2011.01.027zbMath1211.35021arXiv1011.0277OpenAlexW1982964462WikidataQ59310091 ScholiaQ59310091MaRDI QIDQ2431240
Roman O. Popovych, Michael Kunzinger
Publication date: 11 April 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0277
conditional Lie-Bäcklund symmetrypassive systemdetermining equations for operatorsformal compatibility
Related Items (16)
Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ Nonpoint symmetry and reduction of nonlinear evolution and wave type equations ⋮ Nerve pulse propagation in biological membranes — Solitons and other invariant solutions ⋮ Conditional symmetries of nonlinear third-order ordinary differential equations ⋮ Group analysis of general Burgers–Korteweg–de Vries equations ⋮ On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations ⋮ Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮ Solvable structures for evolution PDEs admitting differential constraints ⋮ Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system ⋮ Reduction operators of Burgers equation ⋮ Third-order conditional Lie-Bäcklund symmetries of nonlinear reaction-diffusion equations ⋮ Generalized Conditional Symmetries, Related Solutions and Conservation Laws of the Grad-Shafranov Equation with Arbitrary Flow ⋮ Conditional Lie-Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source ⋮ New candidates for arbitrage-free stock price models via generalized conditional symmetry method ⋮ Lie-Bäcklund symmetry, reduction, and solutions of nonlinear evolutionary equations ⋮ Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification
- Three series of invariant manifolds of the Sawada-Kotera equation
- Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
- Involution. The formal theory of differential equations and its applications in computer algebra
- Applications of symmetry methods to partial differential equations
- Symmetry and exact solutions of multidimensional nonlinear wave equations
- On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
- On the weak symmetry groups of partial differential equations
- Conditional symmetry and reduction of partial differential equations
- A precise definition of reduction of partial differential equations
- Conditional symmetry of a porous medium equation
- Groups of scalings and invariant sets for higher-order nonlinear evolution equations.
- On invariant sets and explicit solutions of nonlinear evolution equations with quadratic nonlinearities
- Generalized conditional symmetries and exact solutions of non-integrable equations
- Lie-Bäcklund symmetries of linear ODEs and generalized separation of variables in nonlinear equations
- The construction of special solutions to partial differential equations
- Evolution equations, invariant surface conditions and functional separation of variables
- New exact solutions to \(N\)-dimensional radially symmetric nonlinear diffusion equations
- New explicit solutions of quasilinear heat equations with general first-order sign-invariants
- Sufficient set of integrability conditions of an orthonomic system
- Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries
- Is a nonclassical symmetry a symmetry?
- Reduction operators of variable coefficient semilinear diffusion equations with a power source
- Non-classical symmetry reduction: example of the Boussinesq equation
- Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations
- Group-Invariant Solutions of Differential Equations
- On form-preserving point transformations of partial differential equations
- Invariant sets of evolution equations
- Periodic solutions of the KdV equation
- Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
- Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
- Direct reduction and differential constraints
- Constructing conditionally integrable evolution systems in (1 1) dimensions: a generalization of invariant modules approach
- Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity
- Conditional Lie-Backlund symmetry and reduction of evolution equations
- Separation of variables in the nonlinear wave equation
- On inequalities for norms of intermediate derivatives on a finite interval
- Ansatz '95
- Singular reduction operators in two dimensions
- A Personal Overview on the Reduction Methods for Partial Differential Equations
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
- Extended rotation and scaling groups for nonlinear evolution equations
- Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems
- New symmetries for a model of fast diffusion
This page was built for publication: Generalized conditional symmetries of evolution equations
