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VOL. 12 | 2011 Poisson-Nijenhuis Structure for Generalized Zakharov-Shabat System in Pole Gauge on the Lie Algebra $\mathfrak{sl}(3,\mathbb{C})$
Alexander B. Yanovski

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

We consider the recursion operator approach to the soliton equations related to a $\mathfrak{sl}(3,\mathbb{C})$ generalized Zakharov-Shabat auxiliary linear system in pole gauge and show that the recursion operator can be identified with the dual to a Nijenhuis tensor for a Poisson-Nijenhuis structure on the manifold of potentials.

Information

Published: 1 January 2011
First available in Project Euclid: 13 July 2015

zbMATH: 1382.53024
MathSciNet: MR3087989

Digital Object Identifier: 10.7546/giq-12-2011-342-353

Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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