Journal of Nonlinear Mathematical Physics

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Volume 6, Issue 4, November 1999, Pages 384 - 410

The Nonabelian Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Approach

Authors
Anatoliy K. Prykarpatsky
Corresponding Author
Anatoliy K. Prykarpatsky
Received 10 May 1999, Revised 23 June 1999, Accepted 22 July 1999, Available Online 1 November 1999.
DOI
10.2991/jnmp.1999.6.4.3How to use a DOI?
Abstract

A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase spaces.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
6 - 4
Pages
384 - 410
Publication Date
1999/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1999.6.4.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Anatoliy K. Prykarpatsky
PY  - 1999
DA  - 1999/11/01
TI  - The Nonabelian Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Approach
JO  - Journal of Nonlinear Mathematical Physics
SP  - 384
EP  - 410
VL  - 6
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1999.6.4.3
DO  - 10.2991/jnmp.1999.6.4.3
ID  - Prykarpatsky1999
ER  -