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

被引：57
|
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
收藏
页码：725 / 732
页数：8
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