Breathers in a damped-driven nonlinear Schrödinger equation

被引:0
|
作者
N. V. Alexeeva
E. V. Zemlyanaya
机构
[1] University of Cape Town,Department of Mathematics
[2] Joint Institute for Nuclear Research,undefined
来源
关键词
nonlinear Schrödinger equation; stability; soliton; damping; parametric driving; bifurcation;
D O I
暂无
中图分类号
学科分类号
摘要
We construct time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation as solutions of a boundary value problem for the space-dependent Fourier coefficients.
引用
收藏
页码:858 / 864
页数:6
相关论文
共 50 条
  • [21] Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation
    Boling Guo
    Guolian Wang
    Frontiers of Mathematics in China, 2008, 3
  • [22] Soliton complexity in the damped-driven nonlinear Schrodinger equation: Stationary to periodic to quasiperiodic complexes
    Barashenkov, I. V.
    Zemlyanaya, E. V.
    PHYSICAL REVIEW E, 2011, 83 (05):
  • [23] Nonautonomous solitons and breathers for the coupled variable-coefficient derivative nonlinear Schrödinger equation
    Wu, Sen
    Ding, Cui Cui
    Li, Xian
    NONLINEAR DYNAMICS, 2024, : 10277 - 10290
  • [24] Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method
    Moebs, Guy
    Temam, Roger
    Journal of the Optical Society of America A: Optics and Image Science, and Vision, 2000, 17 (10): : 1870 - 1879
  • [25] Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation
    Brzezniak, Zdzislaw
    Ferrario, Benedetta
    Zanella, Margherita
    NONLINEARITY, 2024, 37 (01)
  • [26] Derivation of Nonlinear Schrödinger Equation
    Xiang-Yao Wu
    Bai-Jun Zhang
    Xiao-Jing Liu
    Li Xiao
    Yi-Heng Wu
    Yan Wang
    Qing-Cai Wang
    Shuang Cheng
    International Journal of Theoretical Physics, 2010, 49 : 2437 - 2445
  • [27] Eigenvalues of the nonlinear Schrödinger equation
    S. Geltman
    The European Physical Journal D, 2012, 66
  • [28] Collapse in the nonlinear Schrödinger equation
    Yu. N. Ovchinnikov
    I. M. Sigal
    Journal of Experimental and Theoretical Physics, 1999, 89 : 35 - 40
  • [29] Fractional nonlinear Schrödinger equation
    Jesus A. Mendez-Navarro
    Pavel I. Naumkin
    Isahi Sánchez-Suárez
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [30] Breathers, rogue waves, and interaction solutions for the variable coefficient Kundu-nonlinear Schrödinger equation
    Zhang, Xi
    Wang, Yu-Feng
    Yang, Sheng-Xiong
    PHYSICS OF FLUIDS, 2024, 36 (05)