Breathers and rogue waves of the fifth-order nonlinear Schrodinger equation in the Heisenberg ferromagnetic spin chain

被引：58

作者：

Sun, Wen-Rong ^{[1
,2
]}

Tian, Bo ^{[1
,2
]}

Zhen, Hui-Ling ^{[1
,2
]}

Sun, Ya ^{[1
,2
]}

机构：

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

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

NONLINEAR DYNAMICS | 2015年 / 81卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Heisenberg ferromagnetic spin chain; Fifth-order nonlinear Schrodinger equation; Breathers; Rogue waves; Darboux transformation; MAXWELL-BLOCH SYSTEM; SOLITONS;

D O I：

10.1007/s11071-015-2022-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

One-dimensional anisotropic Heisenberg ferromagnetic spin chain can be described by the fifth-order nonlinear Schrodinger equation, which is investigated in this paper. Through the Darboux transformation, we obtain the Akhmediev breathers (ABs), Kuznetsov-Ma (KM) solitons and rogue-wave solutions. Effects of the coefficients of the fourth-order dispersion, gamma, and of the fifth-order dispersion, delta, on the properties of ABs, KM solitons and rogue waves are discussed: (1) With gamma increasing, the AB exhibits stronger localization in time; (2) The propagation directions of an AB and a KM soliton change with the presence of d; and (3) Enhancement of gamma makes the existence time of the rogue waves shorter, while enhancement of d increases the existence time of the rogue waves.

引用

页码：725 / 732

页数：8

共 34 条

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[2] Waves that appear from nowhere and disappear without a trace [J].