Generalized Heisenberg equations and bi-Hamiltonian structures

被引：0
作者：
Li, Yihao [1 ]
Jia, Minxin [1 ]
Wei, Jiao [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 151卷
基金：
中国国家自然科学基金;
关键词：
Generalized Heisenberg equations; Hamiltonian structures; Conservation laws; NONLINEAR SCHRODINGER; SPIN CHAIN; SYSTEM; PERTURBATION; SOLITONS;
D O I：
10.1016/j.aml.2024.108999
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By introducing a 3 x 3 matrix spectral problem, a hierarchy of generalized Heisenberg equations is derived with the aid of the zero-curvature equation. The bi-Hamiltonian form for the hierarchy of generalized Heisenberg equations is established by using the trace identity. Furthermore, we construct the infinite conservation laws of the first nontrivial equation in the hierarchy by means of spectral parameter expansion.
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页数：6
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