Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions

被引:16
|
作者
Geng, Xianguo [1 ]
Li, Ruomeng [1 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
Drinfeld-Sokolov-Satsuma-Hirota system; Darboux transformation; Exact solution; EQUATIONS;
D O I
10.1016/j.aop.2015.06.017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Darboux transformation for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations is constructed with the aid of gauge transformations between the Lax pairs. As an application, several types of solutions of the Drinfeld-Sokolov-Satsuma-Hirota system are obtained, including soliton solutions, periodic solutions, rational solutions and others. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:215 / 225
页数:11
相关论文
共 50 条
  • [31] EXACT SOLITARY WAVE SOLUTION FOR THE DRINFELD-SOKOLOV SYSTEM
    Yang, Bei
    Chen, Guang-Sheng
    THERMAL SCIENCE, 2024, 28 (4B): : 3355 - 3359
  • [32] Darboux transformation and soliton solutions of a nonlocal Hirota equation
    夏亚荣
    姚若侠
    辛祥鹏
    Chinese Physics B, 2022, (02) : 283 - 290
  • [33] A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions
    Xue, Lingling
    Liu, Q. P.
    Wang, Dengshan
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (08)
  • [34] Darboux Transformation and Solutions of the Two-Component Hirota-Maxwell-Bloch System
    杨杰明
    李传忠
    李甜甜
    程招能
    Chinese Physics Letters, 2013, 30 (10) : 93 - 97
  • [35] Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg-de Vries equation
    Geng, Xianguo
    Ren, Hongfeng
    He, Guoliang
    PHYSICAL REVIEW E, 2009, 79 (05):
  • [36] Darboux Transformation and Solutions of the Two-Component Hirota-Maxwell-Bloch System
    Yang Jie-Ming
    Li Chuan-Zhong
    Li Tian-Tian
    Cheng Zhao-Neng
    CHINESE PHYSICS LETTERS, 2013, 30 (10)
  • [37] New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system
    Hong, Baojian
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 472 - 479
  • [38] &ITN&IT-fold Darboux transformation and exact solutions of the Suris system
    Li, Qian
    Liu, Minghui
    Wang, Deng-Shan
    Wen, Xiao-Yong
    MODERN PHYSICS LETTERS B, 2018, 32 (09):
  • [39] A Darboux transformation and new exact solutions for Broer-Kaup system
    Zhou, ZJ
    Li, ZB
    ACTA PHYSICA SINICA, 2003, 52 (02) : 262 - 266
  • [40] Generalized Drinfeld-Sokolov System: Conservation Laws and Solutions
    Garrido, T. M.
    de la Rosa, R.
    Recio, E.
    Bruzon, M. S.
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293