RECURSION OPERATORS FOR RATIONAL BUNDLE ON sl (3; C) WITH Z2 x Z2 x Z2 REDUCTION OF MIKHAILOV TYPE

被引：2

作者：

Yanovski, Alexandar ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa

来源：

PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2015年

关键词：

Mikhailov type reductions; soliton equations hierarchies; recursion operators; INTEGRABLE EQUATIONS; INVERSE SCATTERING;

D O I：

10.7546/giq-16-2015-301-311

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 sl (3; C) but involving rational dependence on the spectral parameter and subject to Z(2) x Z(2) x Z(2) reduction of Mikhailov type. We calculate the hierarchies of nonlinear evolution equations related to this system through the recursion operators we introduce.

引用

页码：301 / 311

页数：11

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