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

被引:134
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
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 24 条
  • [1] Dipole soliton solution for the homogeneous high-order nonlinear Schrodinger equation with cubic-quintic-septic non-Kerr terms
    Azzouzi, F.
    Triki, H.
    Grelu, Ph.
    [J]. APPLIED MATHEMATICAL MODELLING, 2015, 39 (3-4) : 1300 - 1307
  • [2] Controllable behaviors of spatiotemporal breathers in a generalized variable-coefficient nonlinear Schrodinger model from arterial mechanics and optical fibers
    Chen, Hai-Yan
    Zhu, Hai-Ping
    [J]. NONLINEAR DYNAMICS, 2015, 81 (1-2) : 141 - 149
  • [3] Chen YX, 2015, NONLINEAR DYNAM, V82, P589, DOI 10.1007/s11071-015-2178-y
  • [4] Chen YX, 2015, NONLINEAR DYNAM, V79, P427, DOI 10.1007/s11071-014-1676-7
  • [5] Exact solutions for a Wick-type stochastic reaction Duffing equation
    Dai, Chao-Qing
    Xu, Yun-Jie
    [J]. APPLIED MATHEMATICAL MODELLING, 2015, 39 (23-24) : 7420 - 7426
  • [6] Stable light-bullet solutions in the harmonic and parity-time-symmetric potentials
    Dai, Chao-Qing
    Wang, Xiao-Gang
    Zhou, Guo-Quan
    [J]. PHYSICAL REVIEW A, 2014, 89 (01):
  • [7] Superposed Akhmediev breather of the (3+1)-dimensional generalized nonlinear Schrodinger equation with external potentials
    Dai, Chao-Qing
    Zhu, Hai-Ping
    [J]. ANNALS OF PHYSICS, 2014, 341 : 142 - 152
  • [8] Controllable Akhmediev breather and Kuznetsov-Ma soliton trains in PT-symmetric coupled waveguides
    Dai, Chaoqing
    Wang, Yueyue
    Zhang, Xiaofei
    [J]. OPTICS EXPRESS, 2014, 22 (24): : 29862 - 29867
  • [9] Analytical spatiotemporal similaritons for the generalized (3+1)-dimensional Gross-Pitaevskii equation with an external harmonic trap
    Dai, Chaoqing
    Chen, Ruipin
    Zhang, Jiefang
    [J]. CHAOS SOLITONS & FRACTALS, 2011, 44 (10) : 862 - 870
  • [10] Azimuthons: Spatially modulated vortex solitons
    Desyatnikov, AS
    Sukhorukov, AA
    Kivshar, YS
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (20)