Multipole solitons in saturable nonlinear lattices

被引:0
作者
Liangwei Zeng
Jincheng Shi
Milivoj R. Belić
Dumitru Mihalache
Junbo Chen
Hu Long
Xiaowei Lu
Yi Cai
Jingzhen Li
机构
[1] Shenzhen University,Shenzhen Key Laboratory of Micro
[2] 54th Research Institute of CETC,Nano Photonic Information Technology, Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Physics and Optoelectronic Engineering
[3] Texas A &M University at Qatar,School of Physics and Electronic Engineering
[4] Horia Hulubei National Institute of Physics and Nuclear Engineering,undefined
[5] Jiaying University,undefined
来源
Nonlinear Dynamics | 2023年 / 111卷
关键词
Multipole solitons; Saturable nonlinearity; Nonlinear lattices; Self-adaptive propagations;
D O I
暂无
中图分类号
学科分类号
摘要
We demonstrate that both fundamental and multipole soliton families can be generated and stabilized in purely saturable nonlinear lattices, which can be readily realized in nonlinear optics or Bose–Einstein condensates. The waveforms and soliton power of these soliton families, produced in the nonlinear Schrödinger equation, are highly affected by the propagation constant and the strength of nonlinearity. In particular, the amplitude of solitons increases with the increase of the propagation constant, while it decreases with the increase of the strength of nonlinearity. We investigate in detail the stability of such solitons. Beside the perturbed propagation, the stable propagation with modulated parameters that can change during propagation, is also considered, e.g., the one with the modulation of the period of the nonlinear lattice and the other one with the modulation of the strength of saturation. It is verified that the rules of variation for all soliton families are consistent with the ones for modulated parameters.
引用
收藏
页码:3665 / 3678
页数:13
相关论文
共 50 条
  • [41] Localized solutions of inhomogeneous saturable nonlinear Schrodinger equation
    da Rocha, Maurilho R.
    Avelar, Ardiley T.
    Cardoso, Wesley B.
    NONLINEAR DYNAMICS, 2023, 111 (05) : 4769 - 4777
  • [42] Nonlinear coupled electromagnetic wave propagation: Saturable nonlinearities
    Valovik, D. V.
    WAVE MOTION, 2016, 60 : 166 - 180
  • [43] Some Special Solutions of Three Nonlinear Lattices
    XIE Fu-Ding Department of Computer Science
    Communications in Theoretical Physics, 2005, 44 (08) : 293 - 296
  • [44] Extended nonlinear waves in multidimensional dynamical lattices
    Hoq, Q. E.
    Gagnon, J.
    Kevrekidis, P. G.
    Malomed, B. A.
    Frantzeskakis, D. J.
    Carretero-Gonzalez, R.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (04) : 721 - 731
  • [45] PULLBACK ATTRACTORS FOR A CLASS OF NONLINEAR LATTICES WITH DELAYS
    Wang, Yejuan
    Bai, Kuang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (04): : 1213 - 1230
  • [46] Some special solutions of three nonlinear lattices
    Xie, FD
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (02) : 293 - 296
  • [47] Localized solutions of inhomogeneous saturable nonlinear Schrödinger equation
    Maurilho R. da Rocha
    Ardiley T. Avelar
    Wesley B. Cardoso
    Nonlinear Dynamics, 2023, 111 : 4769 - 4777
  • [48] Asymmetric propagation of solitons in nonlinear media with gradual nonlocality
    Weng, Yuanhang
    Chen, Peijun
    Tang, Geyu
    Wang, Hong
    JOURNAL OF OPTICS, 2020, 22 (06)
  • [49] Two-dimensional solitons in triangular photonic lattices with parity-time symmetry
    Wang, Hong
    Shi, Shuang
    Ren, Xiaoping
    Zhu, Xing
    Malomed, Boris A.
    Mihalache, Dumitru
    He, Yingji
    OPTICS COMMUNICATIONS, 2015, 335 : 146 - 152
  • [50] Multi-peak solitons in PT-symmetric Bessel optical lattices with defects
    Wang, Hongcheng
    FRONTIERS OF PHYSICS, 2016, 11 (05)