Interaction behaviors between breather and rogue wave in a Heisenberg ferromagnetic equation

被引：17
作者：
Li, Bang-Qing [1 ,2 ]
机构：
[1] Beijing Technol & Business Univ, Acad Syst Sci, Beijing 100048, Peoples R China
[2] Beijing Technol & Business Univ, Sch Comp, Beijing 100048, Peoples R China
来源：
OPTIK | 2021年 / 227卷
关键词：
equation; Extended Darboux transformation; Mixed breather and rogue wave solution; Interactions behavior; Kerr effect; Amplitude amplification; NONLINEAR SCHRODINGER-EQUATION; SPIN CHAIN; DARBOUX TRANSFORMATION; CONSERVATION-LAWS; RECENT PROGRESS; SOLITONS; DARK; SYSTEM; FILMS;
D O I：
10.1016/j.ijleo.2020.166101
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A (2+1)-dimensional Heisenberg ferromagnetic equation is under investigation, which is based on Schro center dot dinger equation, and can be used to model nonlinear wave propagation in ferromagnetic spin chain. Analytical mixed breather and rogue wave solution is obtained for the system via the extended Darboux transformation technique. Then the interaction behaviors between breather and rogue wave are studied in details. The nonlinear Kerr effect can influence the wave width, rotation and shape of the mixed waves. Especially, the mixed waves will degenerate into oscillation waves when the Kerr effect is not considered. The breather and rogue wave are squeezed and their amplitudes are amplified by controlling two endogenous parameters.
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页数：9
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