A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure (Q310354)
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scientific article; zbMATH DE number 6625291
| Language | Label | Description | Also known as |
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| English | A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure |
scientific article; zbMATH DE number 6625291 |
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A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure (English)
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8 September 2016
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Summary: Associated with \(\widetilde{\mathrm{so}}(3, R)\), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.
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soliton hierarchy
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bi-Hamiltonian structures
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Liouville integrability
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