The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures

Juhui Zhang and Yuqin Yao

Advances in Mathematical Physics, 2016, vol. 2016, 1-13

Abstract:

A new type of two-component Casimir-Qiao-Liu type hierarchy (2-CQLTH) is produced from a new spectral problem and their bi-Hamiltonian structures are constructed. Particularly, a new completely integrable two-component Casimir-Qiao-Liu type equation (2-CQLTE) is presented. Furthermore, based on the semidirect sums of matrix Lie algebras consisting of block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6347961

DOI: 10.1155/2016/6347961

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