Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation

被引：31

作者：

Guo, Ding ^{[1
,2
]}

Tian, Shou-Fu ^{[1
]}

Zhang, Tian -Tian ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Heisenberg ferromagnetic spin chain equation; Lax pair; Hirota bilinear form; Darboux transformation; Backlund transformation; Stability analysis; PERIODIC-WAVE SOLUTIONS; INFINITE CONSERVATION-LAWS; HOMOCLINIC BREATHER WAVES; BOUNDARY VALUE-PROBLEMS; ROGUE WAVES; BACKLUND TRANSFORMATION; SCHRODINGER-EQUATION; DYNAMICS;

D O I：

10.1016/j.camwa.2018.10.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Heisenberg ferromagnetic spin chain equation, which is governed by the (2+1)-dimensional nonlinear Schrodinger-type equation. Based on the Ablowitz-Kaup-Newell-Segur frame, we study the integrability of the equation by deriving its Lax pair and infinite conservation laws. By introducing a potential transformation, we obtain its Hirota bilinear form and soliton solutions. Based on the resulting lax pair, we construct Darboux transformation and multi-soliton solutions of the equation. Furthermore, we also find the other type of soliton solutions for the equation by considering its Backlund transformation. Finally, we discuss the linear stability analysis by considering its stability condition for the stationary solution of the equation, which can be used to analyze modulation instability. The technique presented in this work is analytical, which can be used to enrich the dynamical of the Heisenberg ferromagnetic spin chain equation. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：770 / 778

页数：9

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