Ermakov-Ray-Reid Reductions of Variational Approximations in Nonlinear Optics

被引：27
|
作者：
Rogers, Colin [1 ]
Malomed, Boris
An, Hongli
机构：
[1] Univ New S Wales, Sch Math, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sydney, NSW 2052, Australia
来源：
STUDIES IN APPLIED MATHEMATICS | 2012年 / 129卷 / 04期
基金：
中国国家自然科学基金;
关键词：
GENERALIZED ERMAKOV; SPATIAL SOLITONS; SYSTEMS; BEAMS; SUPERPOSITION; DYNAMICS;
D O I：
10.1111/j.1467-9590.2012.00557.x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Integrable Hamiltonian systems of Ermakov-Ray-Reid type are shown to arise out of variational approximation to certain modulated NLS models as well as in spiralling elliptic soliton systems and their generalization in a Bose-Einstein setting.
引用
收藏
页码：389 / 413
页数：25
相关论文
共 50 条
  • [21] Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations
    Ali, Giuseppe
    Hunter, John K.
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 60 (10) : 1522 - 1557
  • [22] The singular perturbation limit of a variational problem from nonlinear fiber optics
    Kunze, M
    PHYSICA D-NONLINEAR PHENOMENA, 2003, 180 (1-2) : 108 - 114
  • [23] RECENT PROGRESS IN X-RAY NONLINEAR OPTICS
    Tamasaku, Kenji
    Sawada, Kei
    Ishikawa, Tetsuya
    LASER SPECTROSCOPY, 2010, : 273 - 281
  • [24] NONLINEAR OPTICS WITH FOCUSED X-RAY LASERS
    DASILVA, LB
    MUENDEL, MH
    FALCONE, RW
    FIELDS, DJ
    KORTRIGHT, JB
    MACGOWAN, BJ
    MATTHEWS, DL
    MROWKA, S
    SHIMKAVEG, GM
    TREBES, JE
    INSTITUTE OF PHYSICS CONFERENCE SERIES, 1990, (116): : 177 - 180
  • [25] Variational and accessible soliton approximations to multidimensional solitons in highly nonlocal nonlinear media
    Aleksic, Branislav N.
    Aleksic, Najdan B.
    Petrovic, Milan S.
    Strinic, Aleksandra I.
    Belic, Milivoj R.
    OPTICS EXPRESS, 2014, 22 (26): : 31842 - 31852
  • [26] VARIATIONAL APPROXIMATIONS AND MODE-STABILITY IN PLANAR NONLINEAR WAVE-GUIDES
    SAMMUT, RA
    LI, QY
    PASK, C
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1992, 9 (06) : 884 - 890
  • [27] Variational approximations for twisted solitons in a parametrically driven discrete nonlinear Schrodinger equation
    Syafwan, M.
    Efendi
    Arifin, N.
    INTERNATIONAL CONFERENCE ON MATHEMATICS, SCIENCE AND EDUCATION 2017 (ICMSE2017), 2018, 983
  • [28] Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrodinger equation
    Rusin, Rahmi
    Kusdiantara, Rudy
    Susanto, Hadi
    PHYSICS LETTERS A, 2019, 383 (17) : 2039 - 2045
  • [29] VARIATIONAL APPROXIMATIONS OF BIFURCATIONS OF ASYMMETRIC SOLITONS IN CUBIC-QUINTIC NONLINEAR SCHRODINGER LATTICES
    Chong, Christopher
    Pelinovsky, Dimitry E.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2011, 4 (05): : 1019 - 1031
  • [30] Variational approximations in discrete nonlinear Schrodinger equations with next-nearest-neighbor couplings
    Chong, C.
    Carretero-Gonzalez, R.
    Malomed, B. A.
    Kevrekidis, P. G.
    PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (14-15) : 1205 - 1212
12345