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, issue 1

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 3 × 3 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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https://doi.org/10.1155/2016/6347961

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:6347961

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