会议论文详细信息
7th International Workshop: Group Analysis of Differential Equations and Integrable Systems | |
Gauge equivalent integrable equations on sl(3) with reductions | |
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.
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
Gauge equivalent integrable equations on sl(3) with reductions | 857KB | download |