© 2015 Elsevier B.V.. 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.
- Analytic first integral
- Euler equations
- Kowalevsky exponent
- Polynomial first integral
- Quasi-homogeneous differential system