Necessary conditions for point equivalence of second-order ODEs to the sixth Painlevé equation

DOI10.1007/s10958-019-04499-0zbMath1433.34116OpenAlexW2972682740MaRDI QIDQ2011303

Yulia Yurievna Bagderina

Publication date: 6 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04499-0

zbMATH Keywords

Painlevé equationspoint transformationinvariants of differential equationsreductions of differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters

Cites Work

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• Point classification of second order ODEs and its application to Painlevé equations
• Is My ODE a Painlevé Equation in Disguise?
• Solution of the equivalence problem for the third Painlevé equation
• On similarity reductions of the three-wave resonant system to the Painleve equations