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

页码：514 / 524

页数：11

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