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.
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
VILASI, Gaetano
2012
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.File in questo prodotto:
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