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

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  • Juhui Zhang
  • Yuqin Yao

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.

Suggested Citation

  • Juhui Zhang & Yuqin Yao, 2016. "The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-13, August.
    • Handle: RePEc:hin:jnlamp:6347961
    DOI: 10.1155/2016/6347961
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