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Chin. Phys. B, 2020, Vol. 29(6): 064211    DOI: 10.1088/1674-1056/ab84ce
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation

Li-Jun Song(宋丽军), Xiao-Ya Xu(徐晓雅), Yan Wang(王艳)
Department of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, China
Abstract  Based on the generalized coupled nonlinear Schrödinger equation, we obtain the analytic four-bright-bright soliton solution by using the Hirota bilinear method. The interactions among four solitons are also studied in detail. The results show that the interaction among four solitons mainly depends on the values of solution parameters; k1 and k2 mainly affect the two inboard solitons while k3 and k4 mainly affect the two outboard solitons; the pulse velocity and width mainly depend on the imaginary part of ki (i=1, 2, 3, 4), while the pulse amplitude mainly depends on the real part of ki (i=1, 2, 3, 4).
Received:  30 December 2019      Revised:  25 February 2020      Published:  05 June 2020
PACS:  42.65.-k (Nonlinear optics)  
  11.10.Lm (Nonlinear or nonlocal theories and models)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11705108).
Corresponding Authors:  Li-Jun Song     E-mail:  songlij@sxu.edu.cn

Cite this article: 

Li-Jun Song(宋丽军), Xiao-Ya Xu(徐晓雅), Yan Wang(王艳) Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation 2020 Chin. Phys. B 29 064211

[1] Wright O C, Gregory F M and Mclaughlin K T R 1999 Phys. Lett. A 257 170
[2] Sun J J and Ma S W 2015 J. Math. Phys. 56 022110
[3] Belanger N and Belanger P A 1996 Opt. Commun. 124 301
[4] Mofiz U A 2007 Phys. Plasmas. 14 112906
[5] Chen Y J 1989 J. Appl. Phys. 66 43
[6] Sun W R, Liu D Y and Xie X Y 2017 Chaos 27 043114
[7] Tang X Y, Guo Y and Shukla P K 2011 Eur. Phys. J. D 61 677
[8] Wang Z and Cui S B 2015 J. Math. Phys. 56 021503
[9] Qi F H, Ju H M and Meng X H 2014 Nonlinear Dyn. 77 1331
[10] Zhong X Q, Tang T T, Xiang A P and Cheng K 2011 Opt. Commun. 284 4727
[11] Calegar F, Vozzi C and Gasilov S 2008 Phys. Rev. Lett. 100 123006
[12] Chen D, Sun B and Wei Y 2010 Laser Phys. 20 1733
[13] Song S S, Howard S S and Liu Z J 2006 Appl. Phys. Lett. 89 041115
[14] Fischer B, Cronin-Golomb M, White J and Yariv A 1981 Opt. Lett. 6 519
[15] Yajima T and Souma H 1978 Phys. Rev. A 17 309
[16] Wang D S, Zhang D J and Yang J K 2010 J. Math. Phys. 51 023510
[17] Vishnu P N and Senthilvelan M 2016 Commun. Nonlinear Sci. Numer. Simulat. 36 366
[18] Lu X and Peng M S 2013 Nonlinear Dyn. 73 405
[19] Hua S H and Mihalache D 2015 J. Phys. A: Math. Theor. 48 215202
[20] Vijayajayanthi M, Kanna T and Lakshmanan M 2008 Phys. Rev. A 77 013820
[21] Wang Y F, Tian B, Li M, Wang P and Wang M 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 1783
[22] Musammil N M, Porsezian K, Subha P A and Nithyanandan K 2017 Chaos 27 023113
[23] Zhang H Q and Ma W X 2014 Appl. Math. Comput. 230 509
[24] Agalarov A, Zhulego V and Gadzhimuradov T 2015 Phys. Rev. E 91 042909
[25] Vishnu P N, Senthilvelan M and Lakshmanan M 2014 Phys. Rev. E 89 062901
[26] Khare A and Saxena A 2015 J. Math. Phys. 56 032104
[27] Du Z, Tian B, Chai H B, Sun Y and Zhao X H 2018 Chaos 109 90
[28] Esen A, Sulaiman T A, Bulut H and Baskonus H M 2018 Optik 167 150
[29] Song J Y, Hao H Q and Zhang X M 2018 Appl. Math. Lett. 78 126
[30] Wang H and Li B 2011 Chin. Phys. B 20 040203
[31] Zuo J M and Zhang Y M 2011 Chin. Phys. B 20 010205
[32] Li M M, Hu C L, Wu J, Lai X J and Wang Y Y 2019 Chin. Phys. B 28 120502
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