Three Types Generalized Zn-Heisenberg Ferromagnet Models
Three Types Generalized Zn-Heisenberg Ferromagnet Models
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DOI：
10.1155/2020/2076074
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发表时间：
2020-01
影响因子：
1.2
通讯作者：
Yi Zhou;Shuchao Wan;Yang Bai;Zhaowen Yan
中科院分区：
文献类型：
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作者：
Yi Zhou;Shuchao Wan;Yang Bai;Zhaowen Yan
通过取值于交换子代数，我们构造了一个新的(1+1)维广义Heisenberg铁磁模型。研究了广义海森堡铁磁模型与混合导数非线性薛定谔方程之间的几何等价性。导出了与广义系统相关的Lax对。此外，我们还构造了(2+1)维广义非齐次海森堡铁磁模型和-Ishimori方程。我们还讨论了多元系统的可积性。同时，对推广的锌-非线性薛定谔方程、锌-戴维-史蒂沃森方程及其Lax表示进行了深入的研究。
By taking values in a commutative subalgebra , we construct a new generalized - Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized - Heisenberg ferromagnet model and - mixed derivative nonlinear Schrodinger equation has been investigated. The Lax pairs associated with the generalized systems have been derived. In addition, we construct the generalized - inhomogeneous Heisenberg ferromagnet model and - Ishimori equation in (2+1)-dimensions. We also discuss the integrable properties of the multi-component systems. Meanwhile, the generalized Zn-nonlinear Schrodinger equation, Zn-Davey–Stewartson equation and their Lax representation have been well studied.