A fifth order semidiscrete mKdV equation

被引：0
|
作者：
ZHOU Tong [1 ]
ZHU ZuoNong [1 ]
HE Peng [1 ]
机构：
[1] Department of Mathematics,Shanghai Jiao Tong University
来源：
ScienceChina(Mathematics) | 2013年 / 56卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fifth order semidiscrete mKdV equation; Darboux transformation; soliton solutions; conversation laws; continuous limits;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
070102 ;
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：121 / 132
页数：12
相关论文
共 50 条
  • [21] Periodic Wave Solutions of a Generalized KdV-mKdV Equation with Higher-Order Nonlinear Terms
    Li, Zi-Liang
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (8-9): : 649 - 657
  • [22] Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrodinger equation
    Kang, Zhou-Zheng
    Xia, Tie-Cheng
    Ma, Wen-Xiu
    ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (01)
  • [23] Specific wave structures of a fifth-order nonlinear water wave equation
    Hosseini, K.
    Mirzazadeh, M.
    Salahshour, S.
    Baleanu, D.
    Zafar, A.
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (05) : 462 - 466
  • [24] Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation
    Zhao, Qiulan
    Yang, Qianqian
    Qu, Xiangwen
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [25] INTEGRABLE NONLINEAR PERTURBED HIERARCHIES OF NLS-MKDV EQUATION AND SOLITON SOLUTIONS
    Zhao, Qiulan
    Cheng, Hongbiao
    LI, Xinyue
    LI, Chuanzhong
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (71) : 1 - 32
  • [26] Higher-Order Rogue Waves for a Fifth-Order Dispersive Nonlinear Schrodinger Equation in an Optical Fibre
    Wang, Qi-Min
    Gao, Yi-Tian
    Su, Chuan-Qi
    Shen, Yu-Jia
    Feng, Yu-Jie
    Xue, Long
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (05): : 365 - 374
  • [27] Higher-order rational solutions for a new integrable nonlocal fifth-order nonlinear Schrodinger equation
    Yang, Yunqing
    Wang, Xin
    Cheng, Xueping
    WAVE MOTION, 2018, 77 : 1 - 11
  • [28] Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrodinger equation
    Sinthuja, N.
    Manikandan, K.
    Senthilvelan, M.
    PHYSICS LETTERS A, 2021, 415
  • [29] Bilinear form and soliton solutions for the fifth-order Kaup-Kupershmidt equation
    Wang, Pan
    MODERN PHYSICS LETTERS B, 2017, 31 (06):
  • [30] A new classical integrable system associated with the mKdV equation
    Wei Liu
    The European Physical Journal Plus, 127
12345