Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

被引：0
|
作者：
李画眉 [1 ]
葛龙 [1 ]
何俊荣 [1 ]
机构：
[1] Department of Physics,Zhejiang Normal University
来源：
Chinese Physics B | 2012年 / 21卷 / 05期
基金：
中国国家自然科学基金;
关键词：
generalized nonautonomous nonlinear Schrdinger equation; multi-soliton solution; Fourier-synthesized optical lattice potential; flying bird potential;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程]; O437 [非线性光学（强光与物质的作用）];
学科分类号：
070104 ; 070207 ; 0803 ;
摘要：
We present exact bright multi-soliton solutions of a generalized nonautonomous nonlinear Schrdinger equation with time-and space-dependent distributed coefficients and an external potential which describes a pulse propagating in nonlinear media when its transverse and longitudinal directions are nonuniformly distributed.Such solutions exist in certain constraint conditions on the coefficients depicting dispersion,nonlinearity,and gain(loss).Various shapes of bright solitons and interesting interactions between two solitons are observed.Physical applications of interest to the field and stability of the solitons are discussed.
引用
收藏
页码：149 / 156
页数：8
相关论文
共 50 条
  • [31] Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrodinger equation
    Xu, Tao
    Tian, Bo
    Xue, Yu-Shan
    Qi, Feng-Hua
    EPL, 2010, 92 (05)
  • [32] Properties of Multipolar Bright Solitons in Non-local Nonlinear Coupling Medium
    Fang Ping-ping
    Jin Xin-wei
    Lin Ji
    ACTA PHOTONICA SINICA, 2019, 48 (10)
  • [33] Birth of solitons in quadratic spatial soliton collisions
    Jankovic, L
    Kim, H
    Polyakov, S
    Stegeman, GI
    Bosshard, C
    Gunter, P
    OPTICS LETTERS, 2003, 28 (12) : 1037 - 1039
  • [34] COLLISIONS BETWEEN A DAVYDOV SOLITON AND LATTICE SOLITONS
    PEREZ, P
    PHYSICS LETTERS A, 1989, 136 (1-2) : 37 - 40
  • [35] Dynamics of bright solitons and soliton arrays in the nonlinear Schrodinger equation with a combination of random and harmonic potentials
    Chen, Qian-Yong
    Kevrekidis, Panayotis G.
    Malomed, Boris A.
    PHYSICA SCRIPTA, 2012, T149
  • [36] Seesaw drift of bright solitons of the nonlinear Schrodinger equation with a periodic potential
    Castro, Camilo J.
    Urzagasti, Deterlino
    JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2016, 25 (03)
  • [37] Coherently coupled bright optical solitons and their collisions
    Kanna, T.
    Vijayajayanthi, M.
    Lakshmanan, M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (43)
  • [38] Conservation laws, bilinear Backlund transformations and solitons for a nonautonomous nonlinear Schrodinger equation with external potentials
    Chai, Jun
    Tian, Bo
    Xie, Xi-Yang
    Sun, Ya
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 39 : 472 - 480
  • [39] On the Nonautonomous Nonlinear Schrodinger Equations and Soliton Management
    Zhao, Dun
    Luo, Hong-Gang
    He, Xu-Gang
    NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2010, 1212 : 213 - +
  • [40] Propagation dynamics of nonautonomous solitons in a temporally modulated cubic-quintic-septimal nonlinear medium
    Triki, Houria
    Bouguerra, Abdesselam
    Gao, Xiaodan
    Biswas, Anjan
    Yildirim, Yakup
    Alshomrani, Ali Saleh
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (03):
12345