The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

Authors
Prykarpatsky, AK
Citation
Ak. Prykarpatsky, The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach, J NONL M PH, 6(4), 1999, pp. 384-410
Citations number
36
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
6
Issue
4
Year of publication
1999
Pages
384 - 410
Database
ISI
SICI code
1402-9251(199911)6:4<384:TNLIBQ>2.0.ZU;2-D
Abstract
A symplectic theory approach is devised for solving the problem of algebrai c-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canon ically symplectic phase spaces.