Discrete mKdV Equation via Darboux Transformation

被引：0
|
作者：
Joseph Cho
Wayne Rossman
Tomoya Seno
机构：
[1] Institute of Discrete Mathematics and Geometry,Department of Mathematics, Graduate School of Science
[2] TU Wien,undefined
[3] Kobe University,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2021年 / 24卷
关键词：
mKdV equation; Discrete mKdV equation; Darboux transformations; Permutability; Transformation theory; Integrable systems; Primary 53A70; Secondary 35Q53; 53A04;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce an efficient route to obtaining the discrete potential mKdV equation emerging from a particular discrete motion of discrete planar curves.
引用
收藏
相关论文
共 50 条
  • [1] Discrete mKdV Equation via Darboux Transformation
    Cho, Joseph
    Rossman, Wayne
    Seno, Tomoya
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 24 (03)
  • [2] Infinitesimal Darboux transformation and semi-discrete MKDV equation
    Cho, Joseph
    Rossman, Wayne
    Seno, Tomoya
    NONLINEARITY, 2022, 35 (04) : 2134 - 2146
  • [3] Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation
    Ma, Li-Yuan
    Zhao, Hai-Qiong
    Shen, Shou-Feng
    Ma, Wen-Xiu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 68 : 31 - 40
  • [4] Darboux transformation and multi-solitons for complex mKdV equation
    Zha Qi-Lao
    Li Zhi-Bin
    CHINESE PHYSICS LETTERS, 2008, 25 (01) : 8 - 11
  • [5] DARBOUX TRANSFORMATION FOR THE DISCRETE SCHRODINGER EQUATION
    Aktosun, Tuncay
    Choque-Rivero, Abdon E.
    Papanicolaou, Vassilis G.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [6] Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
    Shi, Ying
    Nimmo, Jonathan
    Zhao, Junxiao
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2017, 13
  • [7] Discrete modified Boussinesq equation and Darboux transformation
    Shi, Ying
    Zhao, Junxiao
    APPLIED MATHEMATICS LETTERS, 2018, 86 : 141 - 148
  • [8] Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation
    Xue Guan
    Wenjun Liu
    Qin Zhou
    Anjan Biswas
    Nonlinear Dynamics, 2019, 98 : 1491 - 1500
  • [9] mKdV Equation on Time Scales: Darboux Transformation and N-Soliton Solutions
    Jin, Baojian
    Fang, Yong
    Sang, Xue
    AXIOMS, 2024, 13 (09)
  • [10] Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation
    Guan, Xue
    Liu, Wenjun
    Zhou, Qin
    Biswas, Anjan
    NONLINEAR DYNAMICS, 2019, 98 (02) : 1491 - 1500
12345