Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (5): 1348-1359.

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Two Types of Multi-Component Heisenberg Ferromagnet Models

Fei Wang1(),Denghui Li1(),Yangjie Jia2(),Zhaowen Yan1,*()   

  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)

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

CLC Number: 

  • O29
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