The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
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DOI：
10.1007/bf02108164
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发表时间：
1996-06
期刊：
影响因子：
--
通讯作者：
Zeng Yunbo;Li Yishen
中科院分区：
文献类型：
--
作者：
Zeng Yunbo;Li Yishen
利用将零曲率方程分解为两个可交换的x和tn维可积哈密顿系统(FDIHS)的一般格式，从这两个辅助线性问题的伴随表示出发，系统地推导了AKNS族的所有约束流的Lax表示.导出了这些FDIHS的达布变换。
By using a general scheme for decomposing a zero-curvature equation into two commutingx- andtn-finite-dimensional integrable Hamiltonian systems (FDIHS), a systematic deduction of the Lax representation for all constrained flows of the AKNS hierarchy from the adjoint representation of the two auxiliary linear problems is presented. The Darboux transformation for these FDIHSs is derived.