A Lagrangian description of the higher-order Painlevé equations

DOI10.1016/j.amc.2011.12.008zbMath1251.34101arXiv1201.3703OpenAlexW2030367541MaRDI QIDQ5891579

Partha Guha, Anindya Ghose Choudhury, Nikolay A. Kudryashov

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3703

zbMATH Keywords

LagrangianPainlevé testJacobi's last multiplierhigher-order Painlevé equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Variational principles in infinite-dimensional spaces (58E30) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (2)

Extensions of the general solution families for the inverse problem of the calculus of variations for sixth- and eighth-order ordinary differential equations ⋮ Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves

Cites Work

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• The inverse problem of the calculus of variations for sixth- and eighth-order scalar ordinary differential equations

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