Gauge equivalent integrable equations on sl(3) with reductions

7th International Workshop: Group Analysis of Differential Equations and Integrable Systems

Yanovski, Alexandar B.^1

Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch Cape Town

7700, South Africa^1

关键词: Hierarchy of equations;    Integrable equations;    Linear problems;    Soliton equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/621/1/012017/pdf
DOI  :  10.1088/1742-6596/621/1/012017

来源: IOP

【 摘 要 】

We consider an auxiliary linear problem on the algebra sl(3) with reductions of2×2type introduced recently by Gerdjikov, Mikhailov and Valchev (GMV), and discuss its relation with a Generalized Zakharov-Shabat system having the same type of reduction symmetry. We describe the gauge-equivalent hierarchies and find explicitly the analog of the first nontrivial soliton equation in the hierarchy of equations related to GMV linear problem.