A Lagrangian description of the higher-order Painlev, equations

作者:Choudhury A Ghose*; Guha Partha; Kudryashov N A
来源:Computational Mathematics and Mathematical Physics, 2012, 52(5): 746-755.
DOI:10.1134/S0965542512050089

摘要

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

  • 出版日期2012-5

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