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• W1497394543 abstract "A new 3M-dimensional Lie algebra X is constructed firstly. Then, the corresponding loop algebra is produced, whose commutation operation defined by us is as simple and straightforward as that in the loop algebra A1. It follows that a general scheme for generating multi-component integrable hierarchy is proposed. By taking advantage of , a new isospectral problem is established, and then well-known multi-component TC hierarchy is obtained. Finally, an expanding loop algebra M of the loop algebra is presented. Based on the M, the multi-component integrable coupling system of the generalized multi-component TC hierarchy has been worked out. The method in this paper can be applied to other nonlinear evolution equations hierarchies. It is easy to find that we can construct any finite-dimensional Lie algebra by this approach." @default.
• W1497394543 created "2016-06-24" @default.
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• W1497394543 date "2005-11-01" @default.
• W1497394543 modified "2023-10-16" @default.
• W1497394543 title "Generalized Multi-component TC Hierarchy and Its Multi-component Integrable Coupling System" @default.
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• W1497394543 doi "https://doi.org/10.1088/6102/44/5/793" @default.
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