Abstract
We assign to any cofactor system a whole hierarchy of such systems. A sufficient condition for their complete integrability is given. The hierarchies admit construction of nontrivial integrable systems from trivial ones.
Topalov, P (2002). Hierarchies of cofactor systems. Journal of Physics A: Mathematical and General, 35(12):L175-L179.
Abstract
We assign to any cofactor system a whole hierarchy of such systems. A sufficient condition for their complete integrability is given. The hierarchies admit construction of nontrivial integrable systems from trivial ones.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics Physical Sciences > General Physics and Astronomy |
| Uncontrolled Keywords: | complete integrability, nonconservative Lagrangian systems, quasi-Hamiltonian representation, Riemannian geometry |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 29 Jul 2020 19:43 |
| Publisher: | Institute of Physics Publishing |
| ISSN: | 0305-4470 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1088/0305-4470/35/12/104 |
| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1040.37044 http://www.ams.org/mathscinet-getitem?mr=1914170 |
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Topalov, P