A Lagrangian description of the higher-order Painlevé equations

A. Ghose Choudhury, Partha Guha, N. A. Kudryashov

Research output: Contribution to journalArticlepeer-review

Abstract

We derive the Lagrangians of the higher-order Painlevé equations using Jacobi's last multiplier technique. Some of these higher-order differential equations display certain remarkable properties like passing the Painlevé test and satisfy the conditions stated by Juráš, thus allowing for a Lagrangian description.

Original languageBritish English
Pages (from-to)746-755
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Volume52
Issue number5
DOIs
StatePublished - May 2012

Keywords

  • Higher-order Painlevé equation
  • Juráš conditions
  • Lagrangian
  • Painlevé test

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