Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation

被引：85
|
作者：
Li, Bang-Qing [1 ]
Ma, Yu-Lan [2 ]
机构：
[1] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China
[2] Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 02期
关键词：
(2+1)-dimensional Heisenberg ferromagnetic spin chain equation; Lax pair; Darboux transformation; Nth-order rogue wave solution; LUMP-KINK SOLUTIONS; SOLITON-STRUCTURES; CONSERVATION-LAWS; SYSTEM; HIROTA; PROPAGATION; MODEL;
D O I：
10.1016/j.camwa.2018.09.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darboux transformation, the analytic first-, second- and third-order rogue wave solutions are obtained, and a general expression of the Nth-order (N > 3) rogue wave solutions is presented. The impacts of the system parameters on the rogue waves are demonstrated through numerical visualization method. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：514 / 524
页数：11
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