A hierarchy of super AKNS hierarchy related to Lie superalgebra sl(2|1) and a finite dimensional super Hamiltonian system
A hierarchy of super AKNS hierarchy related to Lie superalgebra sl(2|1) and a finite dimensional super Hamiltonian system
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DOI：
10.1142/s0217984915501262
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发表时间：
2015-08
影响因子：
1.9
通讯作者：
Ruguang Zhou
中科院分区：
文献类型：
--
作者：
Ruguang Zhou
与sl（2）相联系的超AKNS方程族|1）导出了矩阵值谱问题。证明了方程族中的每一个方程都是双超Hamilton的。此外，通过二元非线性化，从谱问题得到了一个新的有限维超Hamilton系统（FDSHS）及其Lax表示、r-矩阵和逆运动积分.
A hierarchy of super AKNS equations associated with a sl(2|1) matrix-valued spectral problem is derived. It is shown that each equation in the hierarchy is bi-super Hamiltonian. Moreover, a new finite dimensional super Hamiltonian system (FDSHS), together with its Lax representation, r-matrix and conversed integrals of motion, is obtained from the spectral problem by binary nonlinearization.