On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field
The equations of motion of a magnetic solid in an ideal fluid and in a homogeneous magnetic field are derived, their Hamiltonian structure are studied and four first integrals are determined. The four-parameter family of the cases of Liouville integrability is found, as well as some cases of the existence of particular integrals.
scientific article; zbMATH DE number 3936649