Dynamics of wave packets and soliton interaction in terms of the third-order nonlinear Schrödinger equation

被引:0
|
作者
Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia [1 ]
机构
来源
Radiophys. Quantum Electron. | / 12卷 / 1051-1055期
基金
俄罗斯基础研究基金会;
关键词
Wave packets - Nonlinear equations;
D O I
暂无
中图分类号
O413 [量子论];
学科分类号
摘要
We present the results of numerical study of the evolution of wave packets and envelope soliton interaction in terms of the third-order nonlinear Schrödinger equation. It is shown that an arbitrary initial pulse evolves to a few solitons and a linear quasiperiodic wave. The interaction of solitons is accompanied by the radiation of part of the wave field in the form of a linear quasiperiodic wave from the interaction region, amplification of the soliton with larger amplitude and attenuation of the soliton with smaller amplitude. © 1999 Kluwer Academic/Plenum Publishers.
引用
收藏
相关论文
共 50 条
  • [21] Bright soliton of the third-order nonlinear Schrödinger equation with power law of self-phase modulation in the absence of chromatic dispersion
    Selvi Altun Durmus
    Neslihan Ozdemir
    Aydin Secer
    Muslum Ozisik
    Mustafa Bayram
    Optical and Quantum Electronics, 56
  • [22] Multi wave, kink, breather, interaction solutions and modulation instability to a conformable third order nonlinear Schrödinger equation
    Nursena Günhan Ay
    Emrullah Yaşar
    Optical and Quantum Electronics, 2023, 55
  • [23] Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation
    Guoli Ma
    Jianbo Zhao
    Qin Zhou
    Anjan Biswas
    Wenjun Liu
    Nonlinear Dynamics, 2021, 106 : 2479 - 2484
  • [24] Highly dispersive Optical solitons to the generalized third-order nonlinear Schrödinger dynamical equation with applications
    Rabie, Wafaa B.
    Seadawy, Aly R.
    Ahmed, Hamdy M.
    OPTIK, 2021, 241
  • [25] Numerical investigation of solitary-wave solutions for the nonlinear Schrödinger equation perturbed by third-order and negative fourth-order dispersion
    Melchert, Oliver
    Demircan, Ayhan
    PHYSICAL REVIEW A, 2024, 110 (04)
  • [26] The contracted Schrödinger equation methodology: study of the third-order correlation effects
    C. Valdemoro
    L. M. Tel
    D. R. Alcoba
    E. Pérez-Romero
    Theoretical Chemistry Accounts, 2007, 118 : 503 - 509
  • [27] On soliton dynamics in nonlinear schrödinger equations
    Zhou Gang
    I. M. Sigal
    Geometric & Functional Analysis GAFA, 2006, 16 : 1377 - 1390
  • [28] Soliton and Rogue Wave Solution of the New Nonautonomous Nonlinear Schrdinger Equation
    王优莹
    贺劲松
    李翊神
    CommunicationsinTheoreticalPhysics, 2011, 56 (12) : 995 - 1004
  • [29] Soliton solutions for the nonlocal nonlinear Schrödinger equation
    Xin Huang
    Liming Ling
    The European Physical Journal Plus, 131
  • [30] Soliton Shielding of the Focusing Nonlinear Schr?dinger Equation
    Bertola, Marco
    Grava, Tamara
    Orsatti, Giuseppe
    PHYSICAL REVIEW LETTERS, 2023, 130 (12)