``Painlevé 34 equation: equivalence test

DOI10.1016/j.cnsns.2014.01.020OpenAlexW2032936437MaRDI QIDQ2300221

Vera V. Kartak

Publication date: 27 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2419

zbMATH Keywords

Painlevé equationPainlevé propertyinvariantpoint transformationproblem of equivalence

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (4)

Open problems for Painlevé equations ⋮ Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters ⋮ Necessary conditions for point equivalence of second-order ODEs to the sixth Painlevé equation ⋮ Equivalence of second-order ordinary differential equations to Painlevé equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of the equivalence problem for the Painlevé IV equation
• ``Quantizations of the second Painlevé equation and the problem of the equivalence of its \(L-A\) pairs
• Equivalence of ordinary differential equations \(y = R(x, y)y^{\prime 2} + 2Q(x, y)y' +P(x, y)\)
• Invariants of a family of scalar second-order ordinary differential equations
• Equivalence Classes of the Second Order Odes with the Constant Cartan Invariant
• A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Point classification of second order ODEs and its application to Painlevé equations
• Is My ODE a Painlevé Equation in Disguise?
• Painlevé structure of a multi-ion electrodiffusion system

This page was built for publication: ``Painlevé 34 equation: equivalence test