On polynomial integrability of the Euler equations on so(4)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Yu, Jiang (Shanghai Jiaotong University. Department of Mathematics)
Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)

Additional title:	On the integrability and polynomial integrability of the Euler equations
Date:	2015
Abstract:	In this paper we prove that the Euler equations on the Lie algebra so(4) with a diagonal quadratic Hamiltonian either satisfy the Manakov condition, or have at most four functionally independent polynomial first integrals. Also we provide necessary conditions in order that the Euler equations can have a fourth functionally independent polynomial first integral via the Kowalevsky exponents.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	El títol de la versió pre-print de l'article és: On the integrability and polynomial integrability of the Euler equations
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Analytic first integrals ; Euler equations ; Kowalevsky exponent ; Polynomial first integral
Published in:	Journal of geometry and physics, Vol. 96 (2015) , p. 36-41, ISSN 0393-0440

DOI: 10.1016/j.geomphys.2015.06.001

Postprint 17 p, 333.3 KB

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