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

Zhang, Juhui ; Yao, Yuqin Konopelchenko, Boris G.

Advances in Mathematical Physics, 2016-01, Vol.2016, p.1-13 [Periódico revisado por pares]

New York: Hindawi Limiteds

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  • Título:
    The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures
  • Autor: Zhang, Juhui ; Yao, Yuqin
  • Konopelchenko, Boris G.
  • Assuntos: Construction ; Couplings ; Differential equations ; Eigen values ; Hamiltonian systems ; Hierarchies ; Lie groups ; Mathematical analysis ; Mathematical research ; Spectra ; Sums
  • É parte de: Advances in Mathematical Physics, 2016-01, Vol.2016, p.1-13
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: 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.
  • Editor: New York: Hindawi Limiteds
  • Idioma: Inglês

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