Enormous soliton solutions to a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation

Abstract

In our current study, we will extract enormous, impressive soliton solutions to a (2+1)-dimensional Heisenberg ferromagnetic spin chains with bilinear and anisotropic interactions in the semi classical limit. The suggested model has its wide importance for many magnetism phenomena. Specially, it is very momentous in modern magnetism theory in which the nonlinear long-range ferromagnetic ordering magnetism can be explained. Moreover, it describes the characteristic of magnetism to many insulating crystals as well as interaction spins. The ferromagnetism plays fundamental role in modern technology and industry and it is principal for many electrical and electromechanical devices such as electromagnets, electric motors, generators etc. We will document various types of the soliton solutions by using four various techniques to extract the soliton configuration behaviors arising from the magnet dynamics model. The techniques that are used to derive these types of soliton solutions are the extended direct algebraic method, the extended simple equation method, the solitary wave ansatz method and the Paul-Painleve approach method. The expected achieved soliton solutions will offer a rich podium to study the nonlinear spin dynamics in magnetic materials. The achieved soliton solutions are new compared with that achieved previously by other authors who used different techniques.