On threedimensional quasiStäckel Hamiltonians
Abstract
A threedimensional integrable generalization of the Stäckel systems is proposed. A classification of such systems is obtained, which results in two families. The first family is the direct sum of the twodimensional system which is equivalent to the representation of the SchottkyManakov top in the quasiStäckel form and a Stäckel onedimensional system. The second family is probably a new threedimensional system. The system of hydrodynamic type, which we get from this family in the usual way, is a threedimensional generalization of the GibbonsTsarev system. A generalization of the quasiStäckel systems to the case of any dimension is discussed.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 May 2014
 DOI:
 10.1088/17518113/47/17/175201
 arXiv:
 arXiv:1312.4081
 Bibcode:
 2014JPhA...47q5201M
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics
 EPrint:
 7 pages