Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions
|
|
| Creator |
Yanovski, A.B.
Vilasi, G. |
|
| Description |
We consider the recursion operator approach to the soliton equations related to the generalized Zakharov-Shabat system on the algebra sl(n,C) in pole gauge both in the general position and in the presence of reductions. We present the recursion operators and discuss their geometric meaning as conjugate to Nijenhuis tensors for a Poisson-Nijenhuis structure defined on the manifold of potentials.
|
|
| Date |
2019-02-18T17:53:45Z
2019-02-18T17:53:45Z 2012 |
|
| Type |
Article
|
|
| Identifier |
Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions / A.B. Yanovski, G. Vilasi // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 37 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q51; 37K05; 37K10 DOI: http://dx.doi.org/10.3842/SIGMA.2012.087 http://dspace.nbuv.gov.ua/handle/123456789/148684 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|