中国物理B ›› 2003, Vol. 12 ›› Issue (6): 581-585.doi: 10.1088/1009-1963/12/6/301
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魏小鹏1, 闫庆友2, 张玉峰3
Yan Qing-You (闫庆友)ab, Zhang Yu-Feng (张玉峰)cd, Wei Xiao-Peng (魏小鹏)a
摘要: With the help of a known Lie algebra, two new high order Lie algebras are constructed. It is remarkable that they have different constructing approaches. The first Lie algebra is constructed by the definition of integrable couplings, the second one by an extension of Lie algebra. Then by making use of Tu scheme, a generalized AKNS hierarchy and another new hierarchy are obtained. As a reduction case of the first hierarchy, a kind of coupled KdV equation is presented. As a reduction case of the second one, a new coupled Schr?dinger equation is given.
中图分类号: (Lie algebras of Lie groups)