The generalized super Kaup–Newell equation and its super bi-Hamiltonian structure

Partial Differential Equations in Applied Mathematics

Tiecheng Xia¹  Ling Zhang²  Fengjiao Dong³  Beibei Hu⁴ 

[1] Corresponding author.;Department of Mathematics, Shanghai University, Shanghai 200444, China;School of Computer and Information Engineering, Chuzhou University, Anhui 239000, China;School of Mathematics and Finance, Chuzhou University, Anhui 239000, China;

关键词: Lie super-algebras;    Generalized super Kaup–Newell equation;    Super Hamiltonian structure;    Self-consistent sources;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work, from the generalized Kaup–Newell (KN) equation spectral problem, the generalized super KN equation and its bi-Hamiltonian structure are constructed based on a Lie super-algebras and the super-trace identity. Besides, a generalized super KN equation with self-consistent sources is also discussed.

【 授权许可】

Unknown