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.

Stationary Solutions for Nonlinear Schrödinger Equations by Lie Group Analysis

“…The governing NLSE shows up in distinctive fields, including fluid dynamics, nonlinear optics and plasma physics. A lot of work has been done to find soliton solutions for various forms of NLSEs [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Eslami and Neirameh studied the exact soliton solutions for higher order NLSE [13].…”

Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm

“…This equation was first studied in [17][18][19][20][21][22][23][24] and arises in various systems such as water waves, plasma physics, solid state physics and nonlinear optics. In Eq.…”

Optical soliton solutions of the Biswas-Arshed model by the $\tan ( \circleddash /2)$ expansion approach

“…The study of solitons covers as well other areas of physics including plasma physics, fluid dynamics, biological systems and so on. With such effects, there are many classes of nonlinear models such as Lakshmanan-Porsezian-Daniel model, complex Ginzburg-Landau equation, Kundu-Eckhaus equation, Fokas-Ienells equation, Kaup-Newll model, Radhkrishnan-Kundu-Lakshmanan equation, resonant nonlinear Schrodinger's equation, Kadomtsev-Petviashvili-Benjamin -Bona-Mahony, Boiti-Leon-Manna-Pempinelli equation and the references therein [5,6,7,8,9,10,11,12,13,14,15,16,17,18]. These models have been successfully addressed dynamical transmission solitons solutions.…”