The Darboux transformation for the coupled Hirota equation

被引：8
|
作者：
Zhang, Yi [1 ]
Dong, Kanghui [1 ]
Jin, Rongjie [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2013年 / 1562卷
关键词：
coupled Hirota equation; Darboux transformation; N-soliton solutions; breather solutions; MULTISOLITON;
D O I：
10.1063/1.4828697
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
An explicit Darboux transformation for the coupled Hirota equation is constructed with the help of a gauge transformation of the Ablowitz-Kaup-Newell-Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some N-soliton solutions and breather solutions for the coupled Hirota equation are obtained.
引用
收藏
页码：249 / 256
页数：8
相关论文
共 50 条
  • [1] Darboux Transformation for the Hirota Equation
    Yilmaz, Halis
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2022, 18 (01) : 136 - 152
  • [2] Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation
    Geng, Xianguo
    He, Guoliang
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2628 - 2634
  • [3] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    Xia, Yarong
    Yao, Ruoxia
    Xin, Xiangpeng
    CHINESE PHYSICS B, 2022, 31 (02)
  • [4] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    夏亚荣
    姚若侠
    辛祥鹏
    Chinese Physics B, 2022, 31 (02) : 283 - 290
  • [5] Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg-de Vries equation
    Geng, Xianguo
    Ren, Hongfeng
    He, Guoliang
    PHYSICAL REVIEW E, 2009, 79 (05):
  • [6] Darboux transformation and nonautonomous solitons for a generalized inhomogeneous Hirota equation
    Y J Tian
    X L Yong
    Y H Huang
    J W Gao
    Indian Journal of Physics, 2017, 91 : 129 - 138
  • [7] Generalized Darboux transformation and localized waves in coupled Hirota equations
    Wang, Xin
    Li, Yuqi
    Chen, Yong
    WAVE MOTION, 2014, 51 (07) : 1149 - 1160
  • [8] Darboux transformation and nonautonomous solitons for a generalized inhomogeneous Hirota equation
    Tian, Y. J.
    Yong, X. L.
    Huang, Y. H.
    Gao, J. W.
    INDIAN JOURNAL OF PHYSICS, 2017, 91 (02) : 129 - 138
  • [9] New Darboux transformation for Hirota-Satsuma coupled KdV system
    Hu, HC
    Liu, QP
    CHAOS SOLITONS & FRACTALS, 2003, 17 (05) : 921 - 928
  • [10] HIROTA DIFFERENCE EQUATION: INVERSE SCATTERING TRANSFORM, DARBOUX TRANSFORMATION, AND SOLITONS
    Pogrebkov, A. K.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 181 (03) : 1585 - 1598
12345