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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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- Відділення математики
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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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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
Інший ID:
2010 Mathematics Subject Classification: 35Q51; 37K05; 37K10
DOI: http://dx.doi.org/10.3842/SIGMA.2012.087
DOI: http://dx.doi.org/10.3842/SIGMA.2012.087
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
465
Завантажень:
170
Анотація:
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.
