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17 p, 333.3 KB 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)
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. [...]
2015 - 10.1016/j.geomphys.2015.06.001
Journal of geometry and physics, Vol. 96 (2015) , p. 36-41  

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