Home > Proceedings > Geom. Integrability & Quantization > Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization > Recursion Operators for Rational Bundle on $\mathfrak{sl}(3,\mathbb{C})$ with $\mathbb{Z}_2\times \mathbb{Z}_2\times \mathbb{Z}_2$ Reduction of Mikhailov Type
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VOL. 16 | 2015 Recursion Operators for Rational Bundle on $\mathfrak{sl}(3,\mathbb{C})$ with $\mathbb{Z}_2\times \mathbb{Z}_2\times \mathbb{Z}_2$ Reduction of Mikhailov Type
Alexandar Yanovski

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

## Abstract

We consider the recursion operator related to a system introduced recently that could be considered as a generalization to a pole gauge generalized Zakharov-Shabat system on $\mathfrak{sl}(3,\mathbb{C})$ but involving rational dependence on the spectral parameter and subject to $\mathbb{Z}_2\times \mathbb{Z}_2\times \mathbb{Z}_2$ reduction of Mikhailov type. We calculate the hierarchies of nonlinear evolution equations related to this system through the recursion operators we introduce.

## Information

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

zbMATH: 1349.35327
MathSciNet: MR3363853

Digital Object Identifier: 10.7546/giq-16-2015-301-311