Dynamical analysis and the soliton solutions of (2+1)-dimensional Heisenberg ferro-magnetic spin chains model with beta fractional derivative

This paper investigates the soliton solutions and dynamical analysis of (2+1)-dimensional Heisenberg ferro-magnetic spin chains model with beta fractional derivative, which is transformed into the ordinary differential equation. By using the second-order complete discriminant system, the soliton sol...

Full description

Saved in:
Bibliographic Details
Published in:Scientific reports 2024-07, Vol.14 (1), p.17684-6, Article 17684
Main Author: Luo, Jie
Format: Article
Language:English
Subjects:
(2+1)-dimensional Heisenberg ferro-magnetic spin chains model
639/766/259
639/766/530/2803
Beta fractional derivative
Complete discriminant system
Dynamical systems
Humanities and Social Sciences
Mathematical problems
multidisciplinary
Ordinary differential equations
Partial differential equations
Science
Science (multidisciplinary)
Soliton solution
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates the soliton solutions and dynamical analysis of (2+1)-dimensional Heisenberg ferro-magnetic spin chains model with beta fractional derivative, which is transformed into the ordinary differential equation. By using the second-order complete discriminant system, the soliton solutions are presented. By utilizing the theory of planar dynamical system, the phase portraits of the dynamical system and its disturbance system are drawn. Moreover, three-dimensional, two-dimensional, and contour plots of soliton solutions for (2+1)-dimensional Heisenberg ferro-magnetic spin chains model with beta fractional derivative have also been plotted.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-024-68153-9