Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation

被引：158
作者：
Fan, EG [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 39期
关键词：
D O I：
10.1088/0305-4470/33/39/308
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An explicit IV-fold Darboux transformation with multiparameters for a kind of coupled derivative nonlinear Schrodinger equation is constructed with the help of a gauge transformation of a spectral problem. As a reduction, a Darboux transformation of the Gerdjikov-Ivanov equation is obtained. Furthermore, the explicit soliton-like solutions of the Gerdjikov-Ivanov equation are given by applying its Darboux transformation.
引用
收藏
页码：6925 / 6933
页数：9
相关论文
共 20 条
  • [1] Ablowitz M.J., 1991, SOLITONS NONLINEAR E
  • [2] INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD
    CHEN, HH
    LEE, YC
    LIU, CS
    [J]. PHYSICA SCRIPTA, 1979, 20 (3-4): : 490 - 492
  • [3] CIESLINSKI J, 1995, J MATH PHYS, V36, P5670, DOI 10.1063/1.531282
  • [4] EXACT-SOLUTIONS OF THE MULTIDIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER-EQUATION FOR MANY-BODY SYSTEMS NEAR CRITICALITY
    CLARKSON, PA
    TUSZYNSKI, JA
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19): : 4269 - 4288
  • [5] PAINLEVE ANALYSIS OF THE NONLINEAR SCHRODINGER FAMILY OF EQUATIONS
    CLARKSON, PA
    COSGROVE, CM
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (08): : 2003 - 2024
  • [6] Darboux transformation and solutions for an equation in 2+1 dimensions
    Estévez, PG
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (03) : 1406 - 1419
  • [7] Fan EG, 2000, J MATH PHYS, V41, P2058, DOI 10.1063/1.533226
  • [8] Gerdjikov V. S., 1983, Bulgarian Journal of Physics, V10, P130
  • [9] GU CH, 1986, LETT MATH PHYS, V11, P325, DOI 10.1007/BF00574158
  • [10] GU CH, 1994, LETT MATH PHYS, V32, P1, DOI 10.1007/BF00761119
12