A two-soliton solution of cubic Schrödinger equation

被引：0
|
作者：
Department of Physics, Hu'nan Normal University, Changsha 410081 [1 ]
机构：
来源：
Chin. Phys. Lett. | / 1卷 / 17-19期
关键词：
Inverse problems - Solitons;
D O I：
暂无
中图分类号：
TU3 [建筑结构];
学科分类号：
081304 ; 081402 ;
摘要：
An exact two-soliton solution of cubic Schrödinger equation is derived by using the inverse scattering method, where the transmission coefficient has one pole of second order instead of two simple poles. This solution describes such a process that two infinitely separated solitons approach and then pass through each other and keep straight on infinitely. © by the Chinese Physical Society.
引用
收藏
相关论文
共 50 条
  • [41] (Invited) Nonlinear Schrödinger equation: Autonomous and nonautonomous soliton
    Nandy S.
    Optik, 2023, 287
  • [42] On a complex fundamental solution of the Schrödinger equation
    A. G. Chechkin
    A. S. Shamaev
    Doklady Mathematics, 2017, 95 : 122 - 124
  • [43] Pseudospectral methods of solution of the Schrödinger equation
    Joseph Q. W. Lo
    Bernie D. Shizgal
    Journal of Mathematical Chemistry, 2008, 44 : 787 - 801
  • [44] Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation
    Kai-Li Geng
    Bo-Wei Zhu
    Qi-Hao Cao
    Chao-Qing Dai
    Yue-Yue Wang
    Nonlinear Dynamics, 2023, 111 : 16483 - 16496
  • [45] A Fractional Schrödinger Equation and Its Solution
    Sami I. Muslih
    Om P. Agrawal
    Dumitru Baleanu
    International Journal of Theoretical Physics, 2010, 49 : 1746 - 1752
  • [46] Special two-soliton solution of the generalized Sine-Gordon equation with a variable coefficient
    Zhong, Wei-Ping
    Belic, Milivoj
    APPLIED MATHEMATICS LETTERS, 2014, 38 : 122 - 128
  • [47] Analytic presentation of a solution of the Schrödinger equation
    E. Z. Liverts
    E. G. Drukarev
    R. Krivec
    V. B. Mandelzweig
    Few-Body Systems, 2008, 44 : 367 - 370
  • [48] Exact Two-Soliton Solutions for Discrete mKdV Equation
    YANG Qin~1 ZHANG Hai-Jun~(1
    CommunicationsinTheoreticalPhysics, 2008, 49 (06) : 1553 - 1556
  • [49] On soliton solutions for higher-order nonlinear Schrödinger equation with cubic-quintic-septic law
    Esen, Handenur
    Onder, Ismail
    Secer, Aydin
    Bayram, Mustafa
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (02)
  • [50] Analytical soliton solutions for the cubic–quintic nonlinear Schrödinger equation with Raman effect in the nonuniform management systems
    Ping Wang
    Li Feng
    Tao Shang
    Lixin Guo
    Guanghua Cheng
    Yingjie Du
    Nonlinear Dynamics, 2015, 79 : 387 - 395
12345