Elementary vortex filament model of the discrete nonlinear Schrodinger equation

被引：2
|
作者：
Nakayama, Kazuaki [1 ]
机构：
[1] Shinshu Univ, Fac Sci, Dept Math Sci, Matsumoto, Nagano 3908621, Japan
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2007年 / 76卷 / 07期
关键词：
discretization; vortex filament; local induction approximation; discrete nonlinear Schrodinger equation;
D O I：
10.1143/JPSJ.76.074003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The discretization of a vortex filament is studied. A discrete vortex model and a discrete version of the local induction approximation technique (LIA), which guarantees that the vortex filament obeys the discrete nonlinear Schrodinger equation, is proposed.
引用
收藏
页数：4
相关论文
共 50 条
  • [41] Superfluidity versus disorder in the discrete nonlinear Schrodinger equation
    Trombettoni, A
    Smerzi, A
    Bishop, AR
    PHYSICAL REVIEW LETTERS, 2002, 88 (17) : 4
  • [42] Modeling reservoir computing with the discrete nonlinear Schrodinger equation
    Borlenghi, Simone
    Boman, Magnus
    Delin, Anna
    PHYSICAL REVIEW E, 2018, 98 (05)
  • [43] On dissipationless shock waves in a discrete nonlinear Schrodinger equation
    Kamchatnov, AM
    Spire, A
    Konotop, VV
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (21): : 5547 - 5568
  • [44] Exact solutions of the saturable discrete nonlinear Schrodinger equation
    Khare, A
    Rasmussen, KO
    Samuelsen, MR
    Saxena, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (04): : 807 - 814
  • [45] Parametric and modulational instabilities of the discrete nonlinear Schrodinger equation
    Rapti, Z
    Kevrekidis, PG
    Smerzi, A
    Bishop, AR
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (07) : S257 - S264
  • [46] Solitonlike solutions of the generalized discrete nonlinear Schrodinger equation
    Hennig, D
    Rasmussen, KO
    Gabriel, H
    Bulow, A
    PHYSICAL REVIEW E, 1996, 54 (05) : 5788 - 5801
  • [47] QUANTUM DEFORMATIONS OF THE DISCRETE NONLINEAR SCHRODINGER-EQUATION
    SALERNO, M
    PHYSICAL REVIEW A, 1992, 46 (11): : 6856 - 6859
  • [48] Pfaffian solution for coupled discrete nonlinear Schrodinger equation
    Ohta, Y
    CHAOS SOLITONS & FRACTALS, 2000, 11 (1-3) : 91 - 95
  • [49] Localized solutions of extended discrete nonlinear Schrodinger equation
    Umarov, B. A.
    Bin Ismail, Nazmi Hakim
    Hadi, Muhammad Salihi Abdul
    Hassan, T. H.
    1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
  • [50] DYNAMICS OF A DISCRETE QUANTUM NONLINEAR SCHRODINGER-EQUATION
    LOHIKOSKI, R
    TIMONEN, J
    PHYSICA SCRIPTA, 1990, T33 : 202 - 205
12345