On the Higher-Order Inhomogeneous Heisenberg Supermagnetic Models
On the Higher-Order Inhomogeneous Heisenberg Supermagnetic Models
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DOI：
10.1007/s44198-021-00001-0
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发表时间：
2021-08
影响因子：
0.7
通讯作者：
Rong Han;Haichao Sun;Nana Jiang;Zhaowen Yan
中科院分区：
文献类型：
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作者：
Rong Han;Haichao Sun;Nana Jiang;Zhaowen Yan
本文涉及五阶非齐次海森堡超磁模型的构造。此外，还给出了模型的宽松表示。通过规范变换，我们建立了具有不同二次约束的规范等效方程，即超和费米五阶非齐次非线性薛定谔方程。此外，我们还研究了它们的 Lax 表示和 Bäcklund 变换，从中讨论了超可积系统的解决方案。
This paper is concerned with the construction of the fifth-order inhomogeneous Heisenberg supermagnetic models. Moreover, the Lax representations of the models are presented. By means of the gauge transformation, we establish their gauge equivalent equations with different quadratic constraints, i.e., the super and fermionic fifth-order inhomogeneous nonlinear Schrödinger equations, respectively. In addition, we investigate their Lax representations and Bäcklund transformations from which the solutions of the super integrable systems have been discussed.