Conditional symmetries of nonlinear third-order ordinary differential equations

DOI10.3934/dcdss.2018040zbMath1385.34028OpenAlexW2765177927MaRDI QIDQ1690358

Peng Zhang

Publication date: 19 January 2018

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018040

zbMATH Keywords

first integralsLie point symmetriesconditional symmetriesthree symmetry equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

A study of a generalized first extended (3+1)-dimensional Jimbo-Miwa equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities
• Classification of ordinary differential equations by conditional linearizability and symmetry
• Linearization of third-order ordinary differential equations by point and contact transformations
• The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
• Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations
• Nonclassical symmetry reductions of the Boussinesq equation.
• Linearization criteria for a system of second-order ordinary differential equations
• Conditional linearizability criteria for a system of third-order ordinary differential equations
• First integrals versus configurational invariants and a weak form of complete integrability
• Conditional symmetry of equations of nonlinear mathematical physics
• On the weak symmetry groups of partial differential equations
• Nonclassical symmetry reductions of nonlinear partial differential equations
• Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation.
• The geometry of the equation \(y'=f(x,y,y',y)\)
• On nonlinear partial differential equations with an infinite-dimensional conditional symmetry
• Integration of second order ordinary differential equations not possessing Lie point symmetries
• Evolution equations, invariant surface conditions and functional separation of variables
• Generalized conditional symmetries of evolution equations
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• Symmetry analysis of a class of autonomous even-order ordinary differential equations
• On linearization of third-order ordinary differential equations
• Linearization of fourth-order ordinary differential equations by point transformations
• Similarity reductions of partial differential equations
• Nonclassical Symmetries for Nonlinear Diffusion and Absorption
• A Basis of Conservation Laws for Partial Differential Equations
• Symmetry group classification of ordinary differential equations: Survey of some results
• Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations

This page was built for publication: Conditional symmetries of nonlinear third-order ordinary differential equations