A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model

Advances in Difference Equations

article

Lu, Huanhuan¹  Zhang, Yufeng¹  Mei, Jianqin² 

[1] School of Mathematics, China University of Mining and Technology;School of Mathematical Sciences, Dalian University of Technology

关键词: Nonisospectral integrable hierarchy;    Bäcklund transformation;    Conserved density;   

DOI  :  10.1186/s13662-020-02930-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati forms. In addition, an expanding integrable model is also worked out by making use of a set of linear spectral problems which are introduced via a high-dimensional loop algebra. Finally, we obtain some conserved densities of a types of heat integrable system by using the weight theory on PDEs.

【 授权许可】

CC BY