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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Page 877 (Mi zvmmf9716)  
A Lagrangian description of the higher-order Painlevé equations

A. Choudhuryab, P. Guhaab, N. A. Kudryashovc

a Department of Physics, Surendranath College, Mahatma Gandhi Road 24/2, Calcutta, 700009 India
b S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700098 India
c Department of Applied Mathematics, National Research Nuclear University Kashirskoe Shosse 31, Moscow 115409, Russian Federation
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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 Jurás̆, thus allowing for a Lagrangian description.
Key words: Higher-order Painlevé equation, Painlevé test, Lagrangian, Jurás̆ conditions.
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 746–755
DOI: https://doi.org/10.1134/S0965542512050089
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Choudhury, P. Guha, N. A. Kudryashov, “A Lagrangian description of the higher-order Painlevé equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 877; Comput. Math. Math. Phys., 52:5 (2012), 746–755
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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