Separation of variables in quasi-potential systems of bi-cofactor form
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 35, no 12, 2947-2964 p.Article in journal (Refereed) Published
We perform variable separation in the quasi-potential systems of equations of the form q¨ = -A-1?k = -Ã -1?k~, where A and Ã are Killing tensors, by embedding these systems into a bi-Hamiltonian chain and by calculating the corresponding Darboux-Nijenhuis coordinates on the symplectic leaves of one of the Hamiltonian structures of the system. We also present examples of the corresponding separation coordinates in two and three dimensions.
Place, publisher, year, edition, pages
2002. Vol. 35, no 12, 2947-2964 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47054DOI: 10.1088/0305-4470/35/12/316OAI: oai:DiVA.org:liu-47054DiVA: diva2:267950