Soliton Molecules and Some Hybrid Solutions for the Nonlinear Schr?dinger Equation

被引：0
|
作者：
汪保 [1 ]
张钊 [2 ]
李彪 [2 ]
机构：
[1] Robotics Institute Ningbo University of Technology
[2] School of Mathematics and Statistics Ningbo University
来源：
Chinese Physics Letters | 2020年 / 03期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
Based on velocity resonance and Darboux transformation,soliton molecules and hybrid solutions consisting of soliton molecules and smooth positons are derived.Two new interesting results are obtained:the first is that the relationship between soliton molecules and smooth positons is clearly pointed out,and the second is that we find two different interactions between smooth positons called strong interaction and weak interaction,respectively.The strong interaction will only disappear when t→∞.This strong interaction can also excite some periodic phenomena.
引用
收藏
页码：13 / 16
页数：4
相关论文
共 50 条
  • [41] The optical soliton solutions of nonlinear Schr?dinger equation with quintic non-Kerr nonlinear term
    Zhang, Kun
    Han, Tianyong
    [J]. RESULTS IN PHYSICS, 2023, 48
  • [42] Symbolic computation on soliton solutions for variable-coefficient nonlinear Schrödinger equation in nonlinear optics
    Wen-Jun Liu
    Bo Tian
    [J]. Optical and Quantum Electronics, 2012, 43 : 147 - 162
  • [43] Soliton solutions of a class of generalized nonlinear schrödinger equations
    Cao Q.
    Zhang T.
    Djidjeli K.
    Price G.W.
    Twizell E.H.
    [J]. Applied Mathematics-A Journal of Chinese Universities, 1997, 12 (4) : 389 - 398
  • [44] Dynamics of soliton solutions in the chiral nonlinear Schrödinger equations
    Hasan Bulut
    Tukur Abdulkadir Sulaiman
    Betul Demirdag
    [J]. Nonlinear Dynamics, 2018, 91 : 1985 - 1991
  • [45] On new diverse variety analytical optical soliton solutions to the perturbed nonlinear Schrödinger equation
    Zhu, Chaoyang
    Abdallah, Suhad Ali Osman
    Rezapour, S.
    Shateyi, Stanford
    [J]. RESULTS IN PHYSICS, 2023, 54
  • [46] Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrödinger Equation
    Pan Wang
    Feng-Hua Qi
    Jian-Rong Yang
    [J]. Computational Mathematics and Mathematical Physics, 2018, 58 : 1856 - 1864
  • [47] Soliton and other solutions to the (1+2)-dimensional chiral nonlinear Schr?dinger equation
    K Hosseini
    M Mirzazadeh
    [J]. Communications in Theoretical Physics, 2020, 72 (12) : 101 - 106
  • [48] On study of modulation instability and optical soliton solutions: the chiral nonlinear Schrödinger dynamical equation
    S. U. Rehman
    Aly R. Seadawy
    M. Younis
    S. T. R. Rizvi
    [J]. Optical and Quantum Electronics, 2021, 53
  • [49] Computational Soliton solutions for the variable coefficient nonlinear Schrödinger equation by collective variable method
    Nauman Raza
    Zara Hassan
    Aly Seadawy
    [J]. Optical and Quantum Electronics, 2021, 53
  • [50] Optical soliton solutions of the resonant nonlinear Schrödinger equation with Kerr-law nonlinearity
    Leta, Temesgen Desta
    Liu, Wenjun
    Ding, Jian
    [J]. JOURNAL OF OPTICS-INDIA, 2024,
12345