Nonlinear integrable couplings of Levi hierarchy and WKI hierarchy (Q1724721)
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scientific article; zbMATH DE number 7022864
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| English | Nonlinear integrable couplings of Levi hierarchy and WKI hierarchy |
scientific article; zbMATH DE number 7022864 |
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Nonlinear integrable couplings of Levi hierarchy and WKI hierarchy (English)
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14 February 2019
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Summary: With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are different from the linear integrable couplings. Based on the variational identity, the Hamiltonian structures of the above hierarchies are derived.
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