Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries
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Publication:2774666
DOI10.1063/1.1330199zbMath1063.35513OpenAlexW2061905624MaRDI QIDQ2774666
Renat Zhdanov, Peter Basarab-Horwath
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/29ba7bd2398688718d8f9e0ed0cb8d0b69161dc7
Related Items (21)
Symmetries and solutions to the thin film equations ⋮ Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ On nonlinear diffusion equations with \(x\)-dependent convection and absorption ⋮ Conditional Lie-Bäcklund Symmetry of Evolution System and Application for Reaction-Diffusion System ⋮ Approximate Generalized Conditional Symmetries for Perturbed Evolution Equations ⋮ Conditional Lie Bäcklund symmetries of Hamilton-Jacobi equations ⋮ Similarity solutions for cylindrical shock wave in self‐gravitating non‐ideal gas with axial magnetic field: Isothermal flow ⋮ Classical and nonclassical symmetries analysis for initial value problems ⋮ Generalized conditional symmetries of evolution equations ⋮ Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations ⋮ Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations ⋮ Invariant sets and solutions to the generalized thin film equation ⋮ Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system ⋮ Exact solutions and generalized conditional symmetries to \((1 + 1)\)-dimensional reaction-diffusion equations ⋮ Third-order conditional Lie-Bäcklund symmetries of nonlinear reaction-diffusion equations ⋮ Conditional Lie-Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source ⋮ Symmetry analysis of initial-value problems ⋮ New candidates for arbitrage-free stock price models via generalized conditional symmetry method ⋮ Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source ⋮ Group-theoretical framework for potential symmetries of evolution equations ⋮ Symmetry groups and fundamental solutions for systems of parabolic equations
Cites Work
- A precise definition of reduction of partial differential equations
- Generalized conditional symmetries and exact solutions of non-integrable equations
- The construction of special solutions to partial differential equations
- Non-classical symmetry reduction: example of the Boussinesq equation
- New similarity reductions of the Boussinesq equation
- Boundary conditions for integrable equations
- Direct reduction and differential constraints
- Conditional Lie-Backlund symmetry and reduction of evolution equations
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