The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures (Q504687)
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scientific article; zbMATH DE number 6675480
| Language | Label | Description | Also known as |
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| English | The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures |
scientific article; zbMATH DE number 6675480 |
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The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures (English)
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17 January 2017
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Summary: 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 \(3 \times 3\) block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.
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bi-Hamiltonian structures
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bi-integrable couplings
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