Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1864147 | Physics Letters A | 2009 | 9 Pages |
Abstract
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It is known that this system always admits three functionally independent polynomial first integrals. We prove that if the system has a rational first integral functionally independent of the known three ones (so-called fourth integral), then it has a polynomial fourth first integral. This is a consequence of a more general fact that for these systems the existence of a Darboux polynomial with non vanishing cofactor implies the existence of a polynomial fourth integral.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
S.I. Popov, W. Respondek, J.-M. Strelcyn,