On the planar integrable differential systems
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2011
Abstract:	Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. We improve these results for polynomial differential systems defined in R2 or C2.
Grants:	Ministerio de Economía y Competitividad MTM2008-00694 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-550 Ministerio de Economía y Competitividad MTM2008-03437
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Planar integrability ; Darboux theory of integrability ; Polynomial differential systems ; Linear differential systems
Published in:	ZAMP. Journal of Applied Mathematics and Physics, Vol. 62 Núm. 4 (2011) , p. 567-574, ISSN 1420-9039

DOI: 10.1007/s00033-011-0116-5

Postprint 8 p, 335.6 KB

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