Heisenberg ferromagnetic spin chain with bilinear and biquadratic interactions in (2+1) dimensions

被引：36
|
作者：
Vasanthi, C. Christal [1 ]
Latha, M. M. [1 ]
机构：
[1] Womens Christian Coll, Dept Phys, Nagercoil 629001, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 28卷 / 1-3期
关键词：
Heisenberg ferromagnetic spin chain; Soliton; Nonlinear Schrodinger equation; NONLINEAR-WAVE EQUATIONS; LOCALIZED COHERENT STRUCTURES; HOMOGENEOUS BALANCE METHOD; SCHRODINGER-EQUATIONS; SYMBOLIC COMPUTATION; EVOLUTION-EQUATIONS; EXPANSION METHOD; SOLITON; SYSTEMS; EXCITATIONS;
D O I：
10.1016/j.cnsns.2015.04.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the nonlinear dynamics of (2 + 1) dimensional ferromagnetic (FM) spin system with bilinear and biquadratic interactions in the semiclassical limit and the dynamics is found to be governed by a new integrable fourth order nonlinear Schrodinger (NLS) equation in (2 + 1) dimensions. The integrability is identified by using Lax pair operators and soliton solutions are obtained using straightforward Darboux transformation (DT) technique. The model Hamiltonian representing (2 + 1) dimensional FM spin chain with varying bilinear and biquadratic interactions are also constructed and inhomogeneity effects are studied by performing a perturbation analysis. Moreover, the modulational instability (MI) aspects are discussed through analytical solutions and graphical illustrations. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：109 / 122
页数：14
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