https://doi.org/10.1140/epjp/s13360-021-01160-1
Regular Article
The (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions
1
Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
2
Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, 44891-63157, Rudsar-Vajargah, Iran
3
Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia
4
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey
5
Institute of Space Sciences, 76900, Magurele-Bucharest, Romania
6
Department of Mechanical Engineering, Lashtenesha-Zibakenar Branch, Islamic Azad University, Lashtenesha-Zibakenar, Iran
Received:
19
October
2020
Accepted:
27
January
2021
Published online:
12
February
2021
The search for exact solutions of nonlinear evolution models with different wave structures has achieved significant attention in recent decades. The present paper studies a nonlinear (2 + 1)-dimensional evolution model describing the propagation of nonlinear waves in Heisenberg ferromagnetic spin chain system. The intended aim is carried out by considering a specific transformation and adopting a modified version of the Jacobi elliptic expansion method. As a result, a number of solitons and Jacobi elliptic function solutions to the Heisenberg ferromagnetic spin chain equation are formally derived. Several three-dimensional plots are presented to demonstrate the dynamical features of the bright and dark soliton solutions.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
