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• W2005064009 abstract "We introduce three kinds of column-vector Lie algebras Ls(s=1,2,3). By making invertible linear transformations we get the corresponding three induced Lie algebras. According to the defined loop algebras L̃s of the Lie algebras Ls(s=1,2,3), we establish three various isospectral problems. Then by applying Tu scheme, we obtain three different coupling integrable couplings of the Korteweg–de Vries (KdV) hierarchy and further reduce them to three kinds of explicit coupling integrable couplings of the KdV equation. One of the coupling integrable couplings of the KdV hierarchy of evolution equations possesses Hamiltonian structure obtained by using the quadratic-form identity and it is Liouville integrable." @default.
• W2005064009 created "2016-06-24" @default.
• W2005064009 creator A5084939534 @default.
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• W2005064009 date "2010-04-01" @default.
• W2005064009 modified "2023-09-30" @default.
• W2005064009 title "Three kinds of coupling integrable couplings of the Korteweg–de Vries hierarchy of evolution equations" @default.
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• W2005064009 doi "https://doi.org/10.1063/1.3374664" @default.
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