Inner automorphisms, discrete and micklund transformations of integrable systems

被引：0
|
作者：
Leznov, A. N. [1 ]
机构：
[1] Univ Autonoma Estado Morelos, CIICAP, Cuernavaca, Morelos, Mexico
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 2卷 / 02期
关键词：
inner automorphism; discrete transformation; Backlund transformation; integrable system; multi-soliton solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that there exist two inner automorphisms and a discrete transformation besides the usual Backlund transformation for the integrable focusing nonlinear Schrodinger equation. By virtue of the inner automorphisms, the discrete transformation can generate multi-soliton solutions. The expressions for multi-soliton solutions generated by the discrete and the Backlund transformations turn out to be the same.
引用
收藏
页码：149 / 158
页数：10
相关论文
共 50 条
  • [31] Two new discrete integrable systems
    陈晓红
    张鸿庆
    Chinese Physics B, 2013, 22 (03) : 67 - 70
  • [32] On the Miura map for discrete integrable systems
    Palit, S
    Chowdhury, AR
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (11): : 2861 - 2867
  • [33] A new class of integrable discrete systems
    Kimura, K
    Yahagi, H
    Hirota, R
    Ramani, A
    Grammaticos, B
    Ohta, Y
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (43): : 9205 - 9212
  • [34] Darboux-integrable discrete systems
    Vereshchagin, V. L.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2008, 156 (02) : 1142 - 1153
  • [35] KINETIC REPRESENTATION OF DISCRETE INTEGRABLE SYSTEMS
    GIBBONS, J
    KUPERSHMIDT, BA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (13): : L559 - L561
  • [36] Darboux-integrable discrete systems
    V. L. Vereshchagin
    Theoretical and Mathematical Physics, 2008, 156
  • [37] Lax Pairs for Discrete Integrable Equations via Darboux Transformations
    Cao Ce-Wen
    Zhang Guang-Yao
    CHINESE PHYSICS LETTERS, 2012, 29 (05)
  • [38] Darboux Transformations of Bispectral Quantum Integrable Systems
    Emil Horozov
    Alex Kasman
    Letters in Mathematical Physics, 1999, 49 : 131 - 143
  • [39] Backlund transformations for Darboux integrable differential systems
    Anderson, I. M.
    Fels, M. E.
    SELECTA MATHEMATICA-NEW SERIES, 2015, 21 (02): : 379 - 448
  • [40] A few integrable systems and spatial spectral transformations
    Zhang, Yufeng
    Tam, Honwah
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (11) : 3770 - 3783
12345