Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrodinger equation

被引：118
作者：
Liu, Xiaoyan [1 ,2 ]
Liu, Wenjun [1 ,2 ]
Triki, Houria [3 ]
Zhou, Qin [4 ]
Biswas, Anjan [5 ,6 ,7 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, POB 122, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, POB 122, Beijing 100876, Peoples R China
[3] Badji Mokhtar Univ, Radiat Phys Lab, Dept Phys, Fac Sci, POB 12, Annaba 23000, Algeria
[4] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China
[5] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA
[6] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[7] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
来源：
NONLINEAR DYNAMICS | 2019年 / 96卷 / 02期
基金：
中国国家自然科学基金;
关键词：
The Hirota bilinear method; Soliton solutions; Periodic attenuating oscillation; OPTICAL SOLITONS; LASER; DISPERSION; WAVE; TRANSMISSION; MODULATION; BOUSSINESQ; ABSORBERS; WELL;
D O I：
10.1007/s11071-019-04822-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
According to the change in the amplitude of the oscillation, it can be divided into equal-amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude-increasing oscillation (divergence oscillation). In this paper, the periodic attenuating oscillation of solitons for a higher-order variable coefficient nonlinear Schrodinger equation is investigated. Analytic one- and two-soliton solutions of this equation are obtained by the Hirota bilinear method. By analyzing the soliton propagation properties, we study how to choose the corresponding parameters to control the soliton propagation and periodic attenuation oscillation phenomena. Results might be of significance for the study of optical communications including soliton control, amplification, compression and interactions.
引用
收藏
页码：801 / 809
页数：9
相关论文
共 84 条
[71]   Combined solitary wave solutions for the inhomogeneous higher-order nonlinear Schrodinger equation [J].
Yang, RC ;
Li, L ;
Hao, RY ;
Li, ZH ;
Zhou, GS .
PHYSICAL REVIEW E, 2005, 71 (03)
[72]   Periodic oscillations of dark solitons in nonlinear optics [J].
Yu, Weitian ;
Ekici, Mehmet ;
Mirzazadeh, Mohammad ;
Zhou, Qin ;
Liu, Wenjun .
OPTIK, 2018, 165 :341-344
[73]   Interactions of solitons, dromion-like structures and butterfly-shaped pulses for variable coefficient nonlinear Schrodinger equation [J].
Yu, Weitian ;
Yang, Chunyu ;
Liu, Mengli ;
Zhang, Yujia ;
Liu, Wenjun .
OPTIK, 2018, 159 :21-30
[74]   Compact passive Q-switching of a diode-pumped Tm,Y:CaF2 laser near 2 μm [J].
Zhang, Cheng ;
Liu, Jie ;
Fan, Xiuwei ;
Peng, Qianqian ;
Guo, Xinsheng ;
Jiang, Dapeng ;
Qian, Xiaobo ;
Su, Liangbi .
OPTICS AND LASER TECHNOLOGY, 2018, 103 :89-92
[75]   Mode locked Nd3+ and Gd3+ co-doped calcium fluoride crystal laser at dual gain lines [J].
Zhang, Feng ;
Wu, Yongjing ;
Liu, Jie ;
Pang, Siyuan ;
Ma, Fengkai ;
Jiang, Dapeng ;
Wu, Qinghui ;
Su, Liangbi .
OPTICS AND LASER TECHNOLOGY, 2018, 100 :294-297
[76]   Dual-wavelength continuous-wave and passively Q-switched Nd,Y:SrF2 ceramic laser [J].
Zhang, Feng ;
Liu, Jie ;
Li, Weiwei ;
Mei, Bingchu ;
Jiang, Dapeng ;
Qian, Xiaobo ;
Su, Liangbi .
OPTICAL ENGINEERING, 2016, 55 (10)
[77]   N-Fold Darboux transformation of the discrete Ragnisco-Tu system [J].
Zhang, Ning ;
Xia, Tiecheng ;
Jin, QiuYan .
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[78]   A Riemann-Hilbert Approach to the Chen-Lee-Liu Equation on the Half Line [J].
Zhang, Ning ;
Xia, Tie-cheng ;
Fan, En-gui .
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 34 (03) :493-515
[79]   Interactions of vector anti-dark solitons for the coupled nonlinear Schrodinger equation in inhomogeneous fibers [J].
Zhang, Yujia ;
Yang, Chunyu ;
Yu, Weitian ;
Mirzazadeh, Mohammad ;
Zhou, Qin ;
Liu, Wenjun .
NONLINEAR DYNAMICS, 2018, 94 (02) :1351-1360
[80]   Some types of dark soliton interactions in inhomogeneous optical fibers [J].
Zhang, Yujia ;
Yang, Chunyu ;
Yu, Weitian ;
Liu, Mengli ;
Ma, Guoli ;
Liu, Wenjun .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (07)
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