Generalized nonisospectral super integrable hierarchies

MATHEMATICAL METHODS IN THE APPLIED SCIENCES(2019)

引用 6|浏览5
暂无评分
摘要
For the Lie superalgebra B(0,1), we choose a set of basis matrices. Then we consider a linear combination of the basis matrices, which is exactly the spectral matrix of the spatial part for the super Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. The compatible condition of the spatial and temporal spectral problems leads to the well-known zero curvature equation. Here, when the spectral parameter is independent (dependent) of temporal parameter, we obtain isospectral (nonisospectral) super AKNS hierarchy. Furthermore, we derive the generalized nonisospectral super AKNS hierarchy (GNI-SAKNS). As another example, similar method is successfully applied to the super Dirac hierarchy, and we obtain the generalized nonisospectral super Dirac hierarchy (GNI-SD).
更多
查看译文
关键词
generalized nonisospectral super AKNS hierarchy,generalized nonisospectral super Dirac hierarchy,Lie superalgebra
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要