Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under PI-symmetric potentials

被引：0
|
作者：
Zhu, Hai-Ping [1 ]
Pan, Zhen-Huan [2 ]
机构：
[1] Lishui Univ, Coll Ecol, Lishui 323000, Zhejiang, Peoples R China
[2] Lishui Univ, Coll Engn & Design, Lishui 323000, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2017年 / 89卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cubic-quintic-septimal nonlinearity; Different diffractions; PT-symmetric potential; Light bullet; Stability; SCHRODINGER-EQUATION; LOCALIZED STRUCTURES; WAVE-GUIDE; SOLITONS; DISCUSSIONS; DYNAMICS;
D O I：
10.1007/s11071-017-3549-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
From the governing equation PI-dimensional nonlinear Schrodinger equation with cubic-quintic-septimal nonlinearities, different diffractions and PI-symmetric potentials, we obtain two kinds of analytical Gaussian-type light bullet solutions. The septimal nonlinear term has a strong impact on the formation of light bullets. The eigenvalue method and direct numerical simulation to analytical solutions imply that stable and unstable evolution of light bullets against white noise attributes to the coaction of cubic-quintic-septimal nonlinearities, dispersion, different diffractions and PI-symmetric potential.
引用
收藏
页码：1745 / 1752
页数：8
相关论文
共 22 条
  • [1] Dynamics of light bullets in inhomogeneous cubic-quintic-septimal nonlinear media with PT -symmetric potentials
    Dai, Chao-Qing
    Chen, Rui-Pin
    Wang, Yue-Yue
    Fan, Yan
    NONLINEAR DYNAMICS, 2017, 87 (03) : 1675 - 1683
  • [2] The stability of two-dimensional spatial solitons in cubic-quintic-septimal nonlinear media with different diffractions and PT -symmetric potentials
    Wu, Hong-Yu
    Jiang, Li-Hong
    Wu, Yu-Feng
    NONLINEAR DYNAMICS, 2017, 87 (03) : 1667 - 1674
  • [3] Two-dimensional Gaussian-type spatial solitons in inhomogeneous cubic-quintic-septimal nonlinear media under PT-symmetric potentials
    Chen, Yi-Xiang
    Xu, Fang-Qian
    Hu, Yi-Liang
    NONLINEAR DYNAMICS, 2017, 90 (02) : 1115 - 1122
  • [4] One-dimensional optical solitons in cubic-quintic-septimal media with PT -symmetric potentials
    Chen, Yi-Xiang
    NONLINEAR DYNAMICS, 2017, 87 (03) : 1629 - 1635
  • [5] Gaussian-type light bullets in power-law nonlinear media with PT - symmetric potentials
    Chen, Yi-Xiang
    Dai, Chao-Qing
    OPTICS COMMUNICATIONS, 2015, 338 : 393 - 398
  • [6] Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under PT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {PT}}$$\end{document}-symmetric potentials
    Hai-Ping Zhu
    Zhen-Huan Pan
    Nonlinear Dynamics, 2017, 89 (3) : 1745 - 1752
  • [7] Stability of Gaussian-type soliton in the cubic-quintic nonlinear media with fourth-order diffraction and PT-symmetric potentials
    Tiofack, Camus Gaston Latchio
    Tchepemen, Nathan Nkouessi
    Mohamadou, Alidou
    Kofane, Timoleon Crepin
    NONLINEAR DYNAMICS, 2019, 98 (01) : 317 - 326
  • [8] Reconstruction of stability for Gaussian spatial solitons in quintic-septimal nonlinear materials under -symmetric potentials
    Dai, Chao-Qing
    Wang, Yue-Yue
    Fan, Yan
    Yu, Ding-Guo
    NONLINEAR DYNAMICS, 2018, 92 (03) : 1351 - 1358
  • [9] (3+1)-dimensional Gaussian-type solitons in the quintic-septimal nonlinear parity-time symmetric media
    Chen, Yi-Xiang
    Xiao, Xiao
    Xu, Fang-Qian
    PHYSICA SCRIPTA, 2019, 94 (09)
  • [10] Gauss-type solitons of (1+1)-dimensional cubic-quintic-septimal nonlinear Schrodinger equation with Gauss-type PT-symmetric potentials
    Li, Ji-tao
    Zhu, Yu
    Qin, Wei
    OPTIK, 2018, 172 : 708 - 713
123