A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws
A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws
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DOI：
10.1063/1.4819469
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发表时间：
2013-08
影响因子：
1.3
通讯作者：
G. He;Yunyun Zhai;X. Geng
中科院分区：
文献类型：
--
作者：
G. He;Yunyun Zhai;X. Geng
利用Lenard递推方程和零曲率方程，提出了与3×3矩阵谱问题相关的向量非线性薛定谔方程的超层次结构。借助超迹恒等式建立了相应的超双哈密顿结构。此外，我们利用谱参数展开推导了超矢量非线性薛定谔方程和层次中第二方程的无限守恒流。
A super hierarchy of the vector nonlinear Schrodinger equations associated with the 3 × 3 matrix spectral problem is proposed by using the Lenard recursion equations and the zero-curvature equation. The corresponding super bi-Hamiltonian structures are established with the help of the super trace identity. Furthermore, we derive the infinite conservation flows of the super vector nonlinear Schrodinger equation and the second equation in the hierarchy by utilizing spectral parameter expansions.