A fifth order semidiscrete mKdV equation

被引：0
|
作者：
Tong Zhou
ZuoNong Zhu
Peng He
机构：
[1] Shanghai Jiao Tong University,Department of Mathematics
来源：
Science China Mathematics | 2013年 / 56卷
关键词：
fifth order semidiscrete mKdV equation; Darboux transformation; soliton solutions; conversation laws; continuous limits; 37K10; 37K40; 37K05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, aiming to get more insight on the relation between the higher order semidiscrete mKdV equations and higher order mKdV equations, we construct a fifth order semidiscrete mKdV equation from the three known semidiscrete mKdV fluxes. We not only give its Lax pairs, Darboux transformation, explicit solutions and infinitely many conservation laws, but also show that their continuous limits yield the corresponding results for the fifth order mKdV equation. We thus conclude that the fifth order discrete mKdV equation is extremely an useful discrete scheme for the fifth order mKdV equation.
引用
收藏
页码：123 / 134
页数：11
相关论文
共 50 条
  • [1] A fifth order semidiscrete mKdV equation
    Zhou Tong
    Zhu ZuoNong
    He Peng
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (01) : 123 - 134
  • [2] A fifth order semidiscrete mKdV equation
    ZHOU Tong
    ZHU ZuoNong
    HE Peng
    ScienceChina(Mathematics), 2013, 56 (01) : 121 - 132
  • [3] On the continuum limit for a semidiscrete Hirota equation
    Pickering, Andrew
    Zhao, Hai-qiong
    Zhu, Zuo-nong
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2195):
  • [4] A semidiscrete Gardner equation
    Zhao, Haiqiong
    Zhu, Zuonong
    FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (05) : 1099 - 1115
  • [5] A semidiscrete Gardner equation
    Haiqiong Zhao
    Zuonong Zhu
    Frontiers of Mathematics in China, 2013, 8 : 1099 - 1115
  • [6] Rogue waves on the periodic background in the high-order discrete mKdV equation
    Yanpei Zhen
    Jinbing Chen
    Nonlinear Dynamics, 2023, 111 : 12511 - 12524
  • [7] Rogue waves on the periodic background in the high-order discrete mKdV equation
    Zhen, Yanpei
    Chen, Jinbing
    NONLINEAR DYNAMICS, 2023, 111 (13) : 12511 - 12524
  • [8] Exp-Function Method for a Generalized MKdV Equation
    Chai, Yuzhen
    Jia, Tingting
    Hao, Huiqin
    Zhang, Jianwen
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [9] SOME EXACT SOLUTIONS OF FIFTH ORDER EQUATION OF BURGERS HIERARCHY
    Unal, I. C.
    JOURNAL OF SCIENCE AND ARTS, 2019, (04) : 899 - 904
  • [10] Rogue periodic waves in the fifth-order Ito equation
    Zhang, Hai-Qiang
    Gao, Xia
    Pei, Zhi-jie
    Chen, Fa
    APPLIED MATHEMATICS LETTERS, 2020, 107
12345