Collapse in the nonlinear Schrodinger equation

被引:5
|
作者
Ovchinnikov, YN [1 ]
Sigal, IM
机构
[1] Russian Acad Sci, LD Landau Theoret Phys Inst, Moscow 117940, Russia
[2] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
关键词
Spectroscopy; State Physics; Field Theory; Exact Solution; Elementary Particle;
D O I
10.1134/1.558952
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new class of exact solutions with a singularity at finite time (collapse) is obtained for the nonlinear Schrodinger equation. (C) 1999 American Institute of Physics. [S1063-7761(99)00707-6].
引用
收藏
页码:35 / 40
页数:6
相关论文
共 50 条
  • [1] Weak collapse in the nonlinear Schrodinger equation
    Ovchinnikov, YN
    [J]. JETP LETTERS, 1999, 69 (05) : 418 - 422
  • [2] Collapse in the nonlocal nonlinear Schrodinger equation
    Maucher, F.
    Skupin, S.
    Krolikowski, W.
    [J]. NONLINEARITY, 2011, 24 (07) : 1987 - 2001
  • [3] Collapse Turbulence in Nonlinear Schrodinger Equation
    Chung, Yeo-Jin
    Lushnikov, Pavel M.
    Vladimirova, Natalia
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 1235 - +
  • [4] Criteria for Collapse in the Focusing Nonlinear Schrodinger Equation
    Duyckaerts, Thomas
    Roudenko, Svetlana
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [5] DRIVING AND COLLAPSE IN A NONLINEAR SCHRODINGER-EQUATION
    RASMUSSEN, KO
    BANG, O
    CHRISTIANSEN, PL
    [J]. PHYSICS LETTERS A, 1994, 184 (03) : 241 - 244
  • [6] Strong collapse turbulence in a quintic nonlinear Schrodinger equation
    Chung, Yeojin
    Lushnikov, Pavel M.
    [J]. PHYSICAL REVIEW E, 2011, 84 (03):
  • [7] Collapse for the higher-order nonlinear Schrodinger equation
    Achilleos, V.
    Diamantidis, S.
    Frantzeskakis, D. J.
    Horikis, T. P.
    Karachalios, N. I.
    Kevrekidis, P. G.
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2016, 316 : 57 - 68
  • [8] THE INFLUENCE OF NOISE ON CRITICAL COLLAPSE IN THE NONLINEAR SCHRODINGER-EQUATION
    RASMUSSEN, KO
    GAIDIDEI, YB
    BANG, O
    CHRISTIANSEN, PL
    [J]. PHYSICS LETTERS A, 1995, 204 (02) : 121 - 127
  • [9] Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrodinger Equation
    Nasibov, Sh. M.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 203 (03) : 726 - 733
  • [10] Collapse dynamics for the discrete nonlinear Schrodinger equation with gain and loss
    Fotopoulos, G.
    Karachalios, Ni
    Koukouloyannis, V
    Vetas, K.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 72 : 213 - 231