On the integrability of some two-component Camassa–Holm-type systems

Pramana: Journal of physics

HONGMIN LI^1¹ 

[1] School of Mathematics, Huaqiao University, Quanzhou 362021, Fujian, People’s Republic of China^1

关键词: Camassa–Holm-type system;    Lax pair;    bi-Hamiltonian structure;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Some two-component Camassa–Holm-type systems are proposed. These systems are shown to be integrable with Lax pairs and bi-Hamiltonian structures. We construct dual hierarchies of these two-component Camassa–Holm-type systems via the tri-Hamiltonian duality method, and derive spectral problems of these dual hierarchies.

【 授权许可】

CC BY