N-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics

被引:64
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 Math & Stat, Beijing 100048, Peoples R China
关键词
Transient stimulated Raman scattering (TSRS); Generalized Darboux transformation (GDT); N-order rogue wave (RW) solutions; Peak and trough; Colliding dynamics; Symmetrical structure; FIBER; SOLITON; LASER; SPECTROSCOPY; MODEL;
D O I
10.1007/s11071-020-05906-x
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We report the novel colliding dynamics of the rogue waves (RWs) for a three-component transient stimulated Raman scattering system arising from nonlinear optics. The N-order RW solutions are constructed by utilizing the generalized Darboux transformation scheme. Then, the dynamics of the RWs are analyzed. As N >= 2, the multiple RWs collide towards a central point. During the collisions and interactions, the peaks and troughs increase greatly. It is also interesting and magical that all the RWs possess exquisite symmetrical structures.
引用
收藏
页码:2449 / 2461
页数:13
相关论文
共 39 条
[21]   Generation and control of multiple solitons under the influence of parameters [J].
Liu, Xiaoyan ;
Triki, Houria ;
Zhou, Qin ;
Mirzazadeh, Mohammad ;
Liu, Wenjun ;
Biswas, Anjan ;
Belic, Milivoj .
NONLINEAR DYNAMICS, 2019, 95 (01) :143-150
[22]   N-solitons, breathers and rogue waves for a generalized Boussinesq equation [J].
Ma, Yu-Lan .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (08) :1648-1661
[23]   Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrodinger system with two higher-order dispersion operators in optical fibers [J].
Ma, Yu-Lan .
NONLINEAR DYNAMICS, 2019, 97 (01) :95-105
[24]   Determinant solutions and asymptotic state analysis for an integrable model of transient stimulated Raman scattering [J].
Meng, Xiang-Hua ;
Wen, Xiao-Yong ;
Piao, Linhua ;
Wang, Deng-Shan .
OPTIK, 2020, 200
[25]   Direct Observation of Self-Similarity in Evolution of Transient Stimulated Raman Scattering in Gas-Filled Photonic Crystal Fibers [J].
Nazarkin, A. ;
Abdolvand, A. ;
Chugreev, A. V. ;
Russell, P. St. J. .
PHYSICAL REVIEW LETTERS, 2010, 105 (17)
[26]   Rogue waves in the Davey-Stewartson I equation [J].
Ohta, Yasuhiro ;
Yang, Jianke .
PHYSICAL REVIEW E, 2012, 86 (03)
[27]   General high-order rogue waves and their dynamics in the nonlinear Schrodinger equation [J].
Ohta, Yasuhiro ;
Yang, Jianke .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2142) :1716-1740
[28]   Rogue waves and their generating mechanisms in different physical contexts [J].
Onorato, M. ;
Residori, S. ;
Bortolozzo, U. ;
Montina, A. ;
Arecchi, F. T. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2013, 528 (02) :47-89
[29]   Nanofiber enhanced stimulated Raman spectroscopy for ultra-fast, ultra-sensitive hydrogen detection with ultra-wide dynamic range [J].
Qi, Yun ;
Zhao, Yan ;
Bao, Haihong ;
Jin, Wei ;
Ho, Hoi Lut .
OPTICA, 2019, 6 (05) :570-576
[30]   Observation of parity-time symmetry in optics [J].
Rueter, Christian E. ;
Makris, Konstantinos G. ;
El-Ganainy, Ramy ;
Christodoulides, Demetrios N. ;
Segev, Mordechai ;
Kip, Detlef .
NATURE PHYSICS, 2010, 6 (03) :192-195