The soliton solutions for semidiscrete complex mKdV equation

被引：0
|
作者：
Babalic, Corina N. [1 ]
机构：
[1] Univ Craiova, 13 AI Cuza, Craiova 200585, Romania
来源：
INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND NUMERICAL METHODS (ICAMNM 2020), 3RD EDITION | 2020年 / 34卷
关键词：
SYMMETRIES;
D O I：
10.1051/itmconf/20203403002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The semidiscrete complex modified Korteweg-de Vries equation (semidiscrete cmKdV), which is the second member of the semidiscrete nonlinear Schrodinger hierarchy (Ablowitz-Ladik hierarchy), is solved using the Hirota bilinear formalism. Starting from the focusing case of semidiscrete form of cmKdV, proposed by Ablowitz and Ladik, we construct the bilinear form and build the multi-soliton solutions. The complete integrability of semidiscrete cmKdV, focusing case, is proven and results are discussed.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] mKdV Equation on Time Scales: Darboux Transformation and N-Soliton Solutions
    Jin, Baojian
    Fang, Yong
    Sang, Xue
    AXIOMS, 2024, 13 (09)
  • [22] Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
    Fan, EG
    PHYSICS LETTERS A, 2001, 282 (1-2) : 18 - 22
  • [23] A generalized complex mKdV equation: Darboux transformations and explicit solutions
    Li, Yihao
    Li, Ruomeng
    Xue, Bo
    Geng, Xianguo
    WAVE MOTION, 2020, 98
  • [24] Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
    Triki, Houria
    Wazwaz, Abdul-Majid
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (02) : 370 - 373
  • [25] Exact soliton solutions of the discrete modified Korteweg-de Vries (mKdV) equation
    Zhang, Yufeng
    Mei, Jianqin
    Hon, Y. C.
    PHYSICS ESSAYS, 2010, 23 (02) : 276 - 284
  • [26] Comment on "The novel multi-soliton solutions of the MKdV-sine Gordon equation"
    Konno, K
    Kakuhata, H
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (08) : 2071 - 2071
  • [27] New solutions to mKdV equation
    Fu, ZT
    Liu, SD
    Liu, SK
    PHYSICS LETTERS A, 2004, 326 (5-6) : 364 - 374
  • [28] Solutions to generalized mKdV equation
    Fu, ZT
    Deng, LT
    Liu, SK
    Liu, SD
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (06) : 641 - 644
  • [29] Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations
    Ma, Wen-Xiu
    JOURNAL OF GEOMETRY AND PHYSICS, 2020, 157
  • [30] EXACT TWO-SOLITON SOLUTIONS AND TWO-PERIODIC SOLUTIONS OF THE PERTURBED mKdV EQUATION WITH VARIABLE COEFFICIENTS
    Huang, Ying
    Liang, Lin
    THEORETICAL AND MATHEMATICAL PHYSICS, 2015, 184 (02) : 1106 - 1113
12345