Transformation of soliton states for a (2+1) dimensional fourth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

Abstract

In this paper, we investigate the soliton interaction in the Heisenberg ferromagnetic spin chain (HFSC), which is governed by a (2+1) dimensional fourth-order nonlinear Schrödinger equation. Research on the transformation of soliton states in the HFSC plays a significant role in the applications of magnetic devices and spintronic components. The soliton solutions are obtained by the Hirota bilinear method. Bound state solitons and different transmission states of periodic discrete wave packets formed by soliton interactions are depicted. Besides, a new phenomenon, that two solitons bound together originally are completely separated after three solitons interact with each other, is presented. The effects of corresponding parameters on the soliton propagation and interaction are discussed. The methods to control the amplitude, duration, intensity and phase of solitons are described. The obtained results may be useful to study the nonlinear characteristics of magnetic materials.