Generating nonisospectral integrable hierarchies via a new scheme

Advances in Difference Equations

article

Wang, Haifeng¹  Zhang, Yufeng¹ 

[1] School of Mathematics, China University of Mining and Technology

关键词: Nonisospectral integrable hierarchy;    Lie algebras;    Hamiltonian structure;    Symmetries;   

DOI  :  10.1186/s13662-020-02600-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra $\operatorname{gl}(3)$ based on the method. Then, we derive a nonisospectral integrable hierarchy whose some new symmetries are also investigated. In addition, a few conserved quantities of the nonisospectral integrable hierarchies are also obtained.

【 授权许可】

CC BY