Analytic study on a (2+1)-dimensional nonlinear Schrodinger equation in the Heisenberg ferromagnetism

被引：48

作者：

Liu, De-Yin

Tian, Bo ^{[1
]}

Jiang, Yan

Xie, Xi-Yang

Wu, Xiao-Yu

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Heisenberg ferromagnetic spin chain; Multi-soliton solutions; Soliton interaction; SOLITON SPIN EXCITATIONS; CHAIN;

D O I：

10.1016/j.camwa.2016.03.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a (2 + 1)-dimensional nonlinear Schrodinger equation for a (2 + 1)-dimensional Heisenberg ferromagnetic spin chain with the bilinear and anisotropic interactions is investigated. Via the Hirota method and symbolic computation, bilinear forms and multi-soliton solutions are derived. The one, two and three solitons are analyzed graphically and we find the amplitudes and widths of the two and three solitons keep invariant after each interaction. The bell-shape one soliton as well as parallel, crossed two and three solitons are respectively observed. Through the asymptotic analysis, expressions which denote the two solitons before and after the interactions are obtained and interactions between the two solitons are proved to be elastic. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：2001 / 2007

页数：7

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