Spatiotemporal Hermite-Gaussian solitons of a (3+1)-dimensional partially nonlocal nonlinear Schrodinger equation

被引：132
|
作者：
Dai, Chao-Qing [1 ]
Wang, Yu [1 ]
Liu, Jiu [1 ]
机构：
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 84卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Spatiotemporal Hermite-Gaussian solitons; Partially nonlocal nonlinearity; Nonlinear Schrodinger equation; KUZNETSOV-MA SOLITON; SYMMETRIC POTENTIALS; AKHMEDIEV BREATHER; LOCALIZED SOLITONS; MEDIA; BACKGROUNDS;
D O I：
10.1007/s11071-015-2560-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A (3 + 1)-dimensional partially nonlocal nonlinear Schrodinger equation is considered, and approximate spatiotemporal Hermite-Gaussian soliton solutions are obtained using the Hirota method. Based on these results, some basic characteristics of spatiotemporal Hermite-Gaussian solitons are studied.
引用
收藏
页码：1157 / 1161
页数：5
相关论文
共 50 条
  • [1] Hermite-Gaussian vortex solitons of a (3+1)-dimensional partially nonlocal nonlinear Schrodinger equation with variable coefficients
    Zhu, Hai-Ping
    Chen, Li
    Chen, Hai-Yan
    NONLINEAR DYNAMICS, 2016, 85 (03) : 1913 - 1918
  • [2] Spatiotemporal Hermite–Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
    Chao-Qing Dai
    Yu Wang
    Jiu Liu
    Nonlinear Dynamics, 2016, 84 : 1157 - 1161
  • [3] Hermite–Gaussian vortex solitons of a (3+1)-dimensional partially nonlocal nonlinear Schrödinger equation with variable coefficients
    Hai-Ping Zhu
    Li Chen
    Hai-Yan Chen
    Nonlinear Dynamics, 2016, 85 : 1913 - 1918
  • [4] Stationary Hermite-Gaussian solitons and their control for nonlinear Schrodinger equation with complex potential
    Kaur, Harneet
    Bhatia, Sanjana
    Goyal, Amit
    Kumar, C. N.
    PHYSICS LETTERS A, 2021, 419 (419)
  • [5] Dynamics of nonlocal and localized spatiotemporal solitons for a partially nonlocal nonlinear Schrodinger equation
    Wang, Yue-Yue
    Dai, Chao-Qing
    Xu, Yi-Qing
    Zheng, Jun
    Fan, Yan
    NONLINEAR DYNAMICS, 2018, 92 (03) : 1261 - 1269
  • [6] Spatiotemporal Hermite-Bessel solitons in (3+1)-dimensional strongly nonlocal nonlinear -symmetric media
    Jin, Mei-Zhen
    Zhang, Jie-Fang
    NONLINEAR DYNAMICS, 2016, 85 (02) : 1023 - 1029
  • [7] Variational solutions for Hermite-Gaussian solitons in nonlocal nonlinear media
    白东峰
    黄长春
    贺军峰
    王毅
    ChinesePhysicsB, 2009, 18 (07) : 2853 - 2857
  • [8] Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media
    Deng, Dongmei
    Zhao, Xin
    Guo, Qi
    Lan, Sheng
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2007, 24 (09) : 2537 - 2544
  • [9] Variational solutions for Hermite-Gaussian solitons in nonlocal nonlinear media
    Bai Dong-Feng
    Huang Chang-Chun
    He Jun-Feng
    Wang Yi
    CHINESE PHYSICS B, 2009, 18 (07) : 2853 - 2857
  • [10] Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrodinger equation
    Zhu, Hai-Ping
    Qian, Li-Rong
    APPLIED MATHEMATICS LETTERS, 2018, 82 : 118 - 125
12345