Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrodinger equation

被引：7
|
作者：
Xu, Tao [1 ]
Tian, Bo [1 ,2 ,3 ]
Xue, Yu-Shan [1 ]
Qi, Feng-Hua [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Key Lab Informat Photon & Optic Communicat BUPT, Minist Educ, Beijing 100876, Peoples R China
来源：
EPL | 2010年 / 92卷 / 05期
基金：
中国国家自然科学基金;
关键词：
PARTIALLY COHERENT SOLITONS; SHAPE-CHANGING COLLISIONS; OPTICAL SOLITONS;
D O I：
10.1209/0295-5075/92/50002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The multi-component Wronskian representation of the bright N-soliton solution to the focusing vector nonlinear Schrodinger equation for certain optical fibers allows a direct algebraic method to study the collision behavior of N vector solitons with m components. In this letter, this method is used to analyze the two- and three-soliton collisions via symbolic computation. The phase-shift formulae induced by the vector-soliton collisions are given explicitly, and the parametric conditions are revealed for the amplitude preservation of all the soliton components in the collision. In addition, the generalized linear fractional transformations are also derived to directly describe the state change for each component of colliding solitons. Copyright (C) EPLA, 2010
引用
收藏
页数：6
相关论文
共 50 条
  • [41] Generalized dark-bright vector soliton solution to the mixed coupled nonlinear Schrodinger equations
    Manikandan, N.
    Radhakrishnan, R.
    Aravinthan, K.
    [J]. PHYSICAL REVIEW E, 2014, 90 (02):
  • [42] The bright N-soliton solution of a multi-component modified nonlinear Schrodinger equation
    Matsuno, Yoshimasa
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (49)
  • [43] Integrability and bright soliton solutions to the coupled nonlinear Schrodinger equation with higher-order effects
    Wang, Deng-Shan
    Yin, Shujuan
    Tian, Ye
    Liu, Yifang
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 296 - 309
  • [44] 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.
    [J]. PHYSICA SCRIPTA, 2012, T149
  • [45] On Soliton Interactions of Vector Nonlinear Schrodinger Equations
    Gerdjikov, V. S.
    [J]. APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 3RD INTERNATIONAL CONFERENCE - AMITANS'11, 2011, 1404
  • [46] Approximate Analytical Solutions of Bright Optical Soliton for Nonlinear Schrodinger Equation of Power Law Nonlinearity
    Hussin, Che Haziqah Che
    Azmi, Amirah
    Ismail, Ahmad Izani Md
    Kilicman, Adem
    Hashim, Ishak
    [J]. BAGHDAD SCIENCE JOURNAL, 2021, 18 (01) : 836 - 845
  • [47] Dark-bright soliton interactions in coupled nonautonomous nonlinear Schrodinger equation with complex potentials
    Nandy, Sudipta
    Barthakur, Abhijit
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 143 (143)
  • [48] Nonstandard bilinearization of PT-invariant nonlocal nonlinear Schrodinger equation: Bright soliton solutions
    Stalin, S.
    Senthilvelan, M.
    Lakshmanan, M.
    [J]. PHYSICS LETTERS A, 2017, 381 (30) : 2380 - 2385
  • [49] THE FOCUSING LOGARITHMIC SCHRODINGER EQUATION: ANALYSIS OF BREATHERS AND NONLINEAR SUPERPOSITION
    Ferriere, Guillaume
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (11) : 6247 - 6274
  • [50] Direct approach to the study of soliton perturbations of the nonlinear Schrodinger equation and the sine-Gordon equation
    Yan, J
    Tang, Y
    Zhou, GH
    Chen, ZH
    [J]. PHYSICAL REVIEW E, 1998, 58 (01): : 1064 - 1073
12345