Classification of ordinary differential equations by conditional linearizability and symmetry
From MaRDI portal
Publication:430321
DOI10.1016/j.cnsns.2011.06.012zbMath1246.34033OpenAlexW2048500331MaRDI QIDQ430321
Publication date: 21 June 2012
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.012
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)
Related Items
Conditional symmetries of nonlinear third-order ordinary differential equations, Linearization: geometric, complex, and conditional, Generalized Stokes' flow and radiative heat transfer model of a non-Newtonian fluid in a Darcy porous medium subject to Navier's slip conditions on the penetrable porous boundary: group theoretical and compatibility analysis, Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms, Third-order ordinary differential equationsy′′′ =f(x, y, y′, y″)with maximal symmetry group
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Linearization of third-order ordinary differential equations by point and contact transformations
- Inequivalence of classes of linearizable systems of second order ordinary differential equations obtained by real and complex symmetry analysis
- The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
- Constructing a space from the geodesic equations
- Linearization criteria for a system of second-order quadratically semi-linear ordinary differential equations
- Autonomous self-similar ordinary differential equations and the Painlevé connection
- Complex Lie symmetries for scalar second-order ordinary differential equations
- Conditional linearizability criteria for a system of third-order ordinary differential equations
- Symmetry breaking for a system of two linear second-order ordinary differential equations
- The geometry of the equation \(y'=f(x,y,y',y)\)
- The connection between isometries and symmetries of geodesic equations of the underlying spaces
- Symmetry Lie algebras of \(n\)th order ordinary differential equations
- On linearization of third-order ordinary differential equations
- Ordinary differential equations which linearize on differentiation
- Projective geometry of systems of second-order differential equations
- Linearization of fourth-order ordinary differential equations by point transformations
- Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations
- Hidden symmetries and linearization of the modified Painlevé–Ince equation
- Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
