Lax pairs for four-wave interaction systems

被引:12
|
作者
Tsuchida, T
Wadati, M
机构
关键词
inverse scattering method; Lax pair; Lax equation; massive Thirring model; four-wave interaction equations;
D O I
10.1143/JPSJ.65.3153
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Lax formulation for four-wave interaction systems is proposed. Integrable four-wave interaction models are derived from a compatibility condition between two linear equations. As simple examples, new four-wave interaction equations are explicitly given.
引用
收藏
页码:3153 / 3156
页数:4
相关论文
共 50 条
  • [31] Wavelet image processing applied to beam interaction in four-wave mixing
    Jones, KJ
    NONLINEAR MATERIALS: GROWTH, CHARACTERIZATION, DEVICES AND APPLICATIONS, 2002, 4628 : 9 - 21
  • [32] FOUR-WAVE RESONANCE INTERACTION IN MEDIA WITH A DOUBLET ABSORPTION LINE.
    Galko, M.V.
    Journal of applied spectroscopy, 1983, 38 (04): : 406 - 410
  • [33] Four-Wave Mixing in Metamaterials
    Kasumova, R. J.
    Safarova, G. A.
    Amirov, Sh. Sh.
    Akhmadova, A. R.
    RUSSIAN PHYSICS JOURNAL, 2019, 61 (09) : 1559 - 1567
  • [34] Four-wave mixing in EDFAs
    Liu, Y
    Burtsev, S
    Tsuda, S
    Hegarty, SP
    Mozdy, RS
    Hempstead, M
    Luther, GG
    Smart, RG
    ELECTRONICS LETTERS, 1999, 35 (24) : 2130 - 2131
  • [35] Four-Wave Mixing in Metamaterials
    R. J. Kasumova
    G. A. Safarova
    Sh. Sh. Amirov
    A. R. Akhmadova
    Russian Physics Journal, 2019, 61 : 1559 - 1567
  • [36] Four-wave mixing in a Λ system
    Berman, P. R.
    Xu, Xiaodong
    PHYSICAL REVIEW A, 2008, 78 (05):
  • [37] Lax Pairs for the Discrete Reduced Nahm Systems
    Giorgio Gubbiotti
    Mathematical Physics, Analysis and Geometry, 2021, 24
  • [38] On integrable wave interactions and Lax pairs on symmetric spaces
    Gerdjikov, Vladimir S.
    Grahovski, Georgi G.
    Ivanov, Rossen I.
    WAVE MOTION, 2017, 71 : 53 - 70
  • [39] Lax Pairs for the Discrete Reduced Nahm Systems
    Gubbiotti, Giorgio
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 24 (02)
  • [40] Matched infrared soliton pairs in graphene under Landau quantization via four-wave mixing
    Ding, Chunling
    Yu, Rong
    Li, Jiahua
    Hao, Xiangying
    Wu, Ying
    PHYSICAL REVIEW A, 2014, 90 (04):