Effects of loss or gain terms on soliton and breather solutions in a couple fiber system
作者： Rui Guo , Hui-Hui Zhao
DOI: 10.1007/S11071-015-2540-0
关键词: Soliton 、 Schrödinger's cat 、 Physics 、 Mathematical analysis 、 Breather 、 Fiber (mathematics) 、 Nonlinear system 、 Transformation (function) 、 Lax pair 、 Classical mechanics
摘要: Under investigation in this paper is a generalized coupled nonlinear Schrodinger system, which describes the propagation properties of soliton pulses uniform couple fiber system with loss or gain. Based on 3 $$\times $$ 3 lax pair, several kinds solutions, periodic solutions and breather are generated vanishing nonvanishing backgrounds by virtue Darboux transformation method. Figures plotted to reveal dynamic features those solutions: (1) elastic interactions two (2) Ma breathers Akhmediev (3) two-breather solutions.
springer.com
sci-hub.se 参考文章(43)
Mohammad Mirzazadeh, Mostafa Eslami, Essaid Zerrad, Mohammad F. Mahmood, Anjan Biswas, Milivoj Belic, Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach Nonlinear Dynamics. ,vol. 81, pp. 1933- 1949 ,(2015) , 10.1007/S11071-015-2117-Y
VB Matveev, MA Salle, Darboux transformations and solitons ,(1992)
Liming Ling, Q P Liu, Darboux transformation for a two-component derivative nonlinear Schrödinger equation Journal of Physics A. ,vol. 43, pp. 434023- ,(2010) , 10.1088/1751-8113/43/43/434023
Chaoqing Dai, Yueyue Wang, Xiaofei Zhang, Controllable Akhmediev breather and Kuznetsov-Ma soliton trains in PT-symmetric coupled waveguides Optics Express. ,vol. 22, pp. 29862- 29867 ,(2014) , 10.1364/OE.22.029862
M. Mirzazadeh, Mostafa Eslami, Michelle Savescu, A. H. Bhrawy, A. A. Alshaery, E. M. Hilal, Anjan Biswas, Optical solitons in DWDM system with spatio-temporal dispersion Journal of Nonlinear Optical Physics & Materials. ,vol. 24, pp. 1550006- ,(2015) , 10.1142/S021886351550006X
Zhen-Jun Yang, Zhi-Ping Dai, Shu-Min Zhang, Zhao-Guang Pang, Dynamics of dipole breathers in nonlinear media with a spatial exponential-decay nonlocality Nonlinear Dynamics. ,vol. 80, pp. 1081- 1090 ,(2015) , 10.1007/S11071-015-1928-1
Xianguo Geng, Yanyan Lv, Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation Nonlinear Dynamics. ,vol. 69, pp. 1621- 1630 ,(2012) , 10.1007/S11071-012-0373-7
R. S. Tasgal, M. J. Potasek, Soliton solutions to coupled higher‐order nonlinear Schrödinger equations Journal of Mathematical Physics. ,vol. 33, pp. 1208- 1215 ,(1992) , 10.1063/1.529732
Feng-Hua Qi, Hong-Mei Ju, Xiang-Hua Meng, Juan Li, Conservation laws and Darboux transformation for the coupled cubic–quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics Nonlinear Dynamics. ,vol. 77, pp. 1331- 1337 ,(2014) , 10.1007/S11071-014-1382-5
Guangye Yang, Lu Li, Suotang Jia, Peregrine rogue waves induced by the interaction between a continuous wave and a soliton. Physical Review E. ,vol. 85, pp. 046608- ,(2012) , 10.1103/PHYSREVE.85.046608