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

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Yanovski, A.B.
dc.contributor.author	Vilasi, G.
dc.date.accessioned	2019-02-18T17:53:45Z
dc.date.available	2019-02-18T17:53:45Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35Q51; 37K05; 37K10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.087
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148684
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors are grateful to A.V. Mikhailov and V.S. Gerdjikov for drawing their attention to the theory of the recursion operators in the presence of reductions and the problems related to it. We would like also to thank the referees who read carefully the manuscript and make number of remarks that helped to improve considerably the manuscript.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.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	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA