The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures
Keyword(s):
New Type
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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 of3×3block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.
Keyword(s):
2007 ◽
Vol 21
(30)
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pp. 2063-2074
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Keyword(s):
2007 ◽
Vol 21
(22)
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pp. 3809-3824
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2016 ◽
Vol 8
(4)
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pp. 588-598
Keyword(s):
2007 ◽
Vol 21
(01)
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pp. 37-44
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2010 ◽
Vol 24
(24)
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pp. 4821-4834