关于两类多分量海森堡铁磁链模型的研究

数学物理学报 ›› 2022, Vol. 42 ›› Issue (5): 1348-1359.

关于两类多分量海森堡铁磁链模型的研究

王菲¹(),李登慧¹(),加羊杰²(),颜昭雯^1,*()

¹ 内蒙古大学数学科学学院呼和浩特 010021
² 青海师范大学民族师范学院数学系西宁 810008

收稿日期:2021-06-28 出版日期:2022-10-26 发布日期:2022-09-30
通讯作者: 颜昭雯 E-mail:neida_wangfei1@163.com;18443199972@163.com;jiayangjie123@163.com;yanzw@imu.edu.cn
作者简介:王菲, E-mail: neida_wangfei1@163.com|李登慧, E-mail: 18443199972@163.com|加羊杰, E-mail: jiayangjie123@163.com
基金资助:
国家自然科学基金(11965014);国家自然科学基金(12061051);青海省国家科学基金(2021-ZJ-708)

Two Types of Multi-Component Heisenberg Ferromagnet Models

Fei Wang¹(),Denghui Li¹(),Yangjie Jia²(),Zhaowen Yan^1,*()

¹ School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
² Department of Mathematics, Nationalities College of Qinghai Normal University, Xining 810008

Received:2021-06-28 Online:2022-10-26 Published:2022-09-30
Contact: Zhaowen Yan E-mail:neida_wangfei1@163.com;18443199972@163.com;jiayangjie123@163.com;yanzw@imu.edu.cn
Supported by:
the NSFC(11965014);the NSFC(12061051);the NSF of Qinghai(2021-ZJ-708)

摘要/Abstract

摘要：

该文研究了两类多分量海森堡铁磁链模型, 分别为(1+1) 维Myrzakulov系列方程和(2+1) 维Myrzakulov Lakshmanan系列方程. 利用欧氏空间中曲线的运动规律, 可以构造与这两类方程相对应的几何等价方程, 进一步得到了这两类多分量海森堡铁磁链模型的Lax表示.

关键词: 海森堡铁磁链模型, 多分量推广, 几何等价方程, Lax表示

Abstract:

This paper is concerned with two kinds of multi-component Heisenberg ferromagnet models. They are the (1+1)-dimensional Myrzakulov series equations and the (2+1)-dimensional Myrzakulov Lakshmanan series equations. Moving the space curve in Euclidean space presents the corresponding geometrical equivalent equations. Meanwhile the Lax representations of two types of multi-component Heisenberg ferromagnet models are investigated.

Key words: Heisenberg ferromagnet models, Multi-component models, Gauge equivalent equation, Lax representations

中图分类号:

王菲,李登慧,加羊杰,颜昭雯. 关于两类多分量海森堡铁磁链模型的研究[J]. 数学物理学报, 2022, 42(5): 1348-1359.

Fei Wang,Denghui Li,Yangjie Jia,Zhaowen Yan. Two Types of Multi-Component Heisenberg Ferromagnet Models[J]. Acta mathematica scientia,Series A, 2022, 42(5): 1348-1359.

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