Analytic study on soliton solutions for a Dirac integrable equation

被引:3
作者
Wei, Boning [1 ]
Hu, Cheng [1 ]
Guan, Xue [1 ]
Luan, Zitong [1 ]
Yao, Min [2 ]
Liu, Wenjun [1 ]
机构
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Sch Sci, POB 122, Beijing 100876, Peoples R China
[2] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China
来源
OPTIK | 2019年 / 183卷
基金
中国国家自然科学基金;
关键词
Solitons; Analytic solutions; Dirac integrable equation; Darboux transformation; OPTICAL SOLITONS; LASER; WAVES; ABSORBERS; FISSION; WELL; LAWS;
D O I
10.1016/j.ijleo.2019.03.004
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Solitons are widely used in nonlinear optics, theoretical physics and other fields. In this paper, based on a spectral problem, the Dirac integrable equation is dealt with N-fold Darboux transformation, and analytic solutions for this equation are presented with the assistance of symbolic computation, and the propositions are provided for two different Darboux transformations. Two illustrative examples of the resulting solutions are displayed. Finally, their dynamic properties of those obtained solutions are discussed.
引用
收藏
页码:869 / 874
页数:6
相关论文
共 51 条
  • [1] ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
  • [2] Ablowitz MJ, 1991, Nonlinear Evolution Equations and Inverse Scattering
  • [3] W-shaped, bright and dark solitons of Biswas-Arshed equation
    Aouadi, S.
    Bouzida, A.
    Daoui, A. K.
    Triki, H.
    Zhou, Qin
    Liu, Sha
    [J]. OPTIK, 2019, 182 : 227 - 232
  • [4] Optical solitons with polarization-mode dispersion for coupled Fokas-Lenells equation with two forms of integration architecture
    Arshed, Saima
    Biswas, Anjan
    Zhou, Qin
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (08)
  • [5] Solitons in optical metamaterials with anti-cubic nonlinearity
    Biswas, Anjan
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Zhou, Qin
    Alshomrani, Ali Saleh
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (05):
  • [6] Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle
    Biswas, Anjan
    Zhou, Qin
    Triki, Houria
    Ullah, Malik Zaka
    Asma, Mir
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. JOURNAL OF MODERN OPTICS, 2018, 65 (02) : 179 - 184
  • [7] Perturbation theory and optical soliton cooling with anti-cubic nonlinearity
    Biswas, Anjan
    Zhou, Qin
    Ullah, Malik Zaka
    Asma, Mir
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. OPTIK, 2017, 142 : 73 - 76
  • [8] Graphene saturable absorber for diode pumped Yb:Sc2SiO5 mode-locked laser
    Cai, Wei
    Jiang, Shouzhen
    Xu, Shicai
    Li, Yaqi
    Liu, Jie
    Li, Chun
    Zheng, Lihe
    Su, Liangbi
    Xu, Jun
    [J]. OPTICS AND LASER TECHNOLOGY, 2015, 65 : 1 - 4
  • [9] Picosecond passively mode-locked laser of 532 nm by reflective carbon nanotube
    Cai, Wei
    Peng, Qianqian
    Hou, Wei
    Liu, Jie
    Wang, Yonggang
    [J]. OPTICS AND LASER TECHNOLOGY, 2014, 58 : 194 - 196
  • [10] Cao C W., 1990, Nonlinear Physics, Research Reports in Physics, pp 68