Induced Lie Algebras of a Six-Dimensional Matrix Lie Algebra |
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Authors: | ZHANG Yu-Feng and LIU Jing |
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Institution: | Mathematical School, Liaoning Normal University, Dalian 116029, China |
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Abstract: | By using a six-dimensional matrix Lie algebra Y.F. Zhang and Y. Wang, Phys. Lett. A 360 (2006) 92],
three induced Lie algebras are constructed. One of them is obtained by extending Lie bracket, the others are
higher-dimensional complex Lie algebras constructed by using linear transformations. The equivalent Lie algebras of the later two with multi-component forms are obtained as well. As their applications, we derive an integrable coupling and
quasi-Hamiltonian structure of the modified TC hierarchy of soliton equations. |
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Keywords: | Lie algebra soliton equation Hamiltonian structure |
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