Integrable Discretization and Multi-soliton Solutions of Negative Order AKNS Equation

被引：0
|
作者：
Amjad, Zeeshan [1 ]
Haider, Bushra [2 ]
Ma, Wen-Xiu [1 ,3 ,4 ,5 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Univ Punjab, Dept Phys, Quaid E Azam Campus, Lahore 54590, Pakistan
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[5] North West Univ, Dept Math Sci, Mat Sci Innovat & Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / SUPPL 1期
关键词：
Discrete integrable systems; Darboux transformation; Negative order AKNS; Soliton solution; PROPAGATION;
D O I：
10.1007/s12346-024-01140-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose the discrete and two semi-discrete versions of negative order AKNS equation through the discretization of associated Lax pair of continuous negative order AKNS equation. Discrete and semi-discrete multi-soliton solutions are computed by using Darboux transformation and are presented in the form of quasideterminants. The dynamics of one soliton and interaction of two soliton solutions for negative order AKNS equation are presented in the end.
引用
收藏
页数：20
相关论文
共 50 条
  • [41] Multi-Soliton, Soliton-Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation
    Wei, Peng-Fei
    Zhang, Hao-Bo
    Liu, Ye
    Lin, Si-Yu
    Chen, Rui-Yu
    Xu, Zi-Yi
    Wang, Wan-Li
    Ren, Bo
    MATHEMATICS, 2024, 12 (13)
  • [42] Multi-soliton solutions of the generalized variable-coefficient Bogoyavlenskii equation
    Zuo, Da-Wei
    Jia, Hui-Xian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (03) : 413 - 424
  • [43] MULTI-SOLITON SOLUTIONS OF THE EINSTEIN EQUATION AND THE TOMIMATSU-SATO METRIC
    TOMIMATSU, A
    SATO, H
    SUPPLEMENT OF THE PROGRESS OF THEORETICAL PHYSICS, 1981, (70): : 215 - 237
  • [44] NEW MULTI-SOLITON SOLUTIONS FOR GENERALIZED BURGERS-HUXLEY EQUATION
    Liu, Jun
    Luo, Hong-Ying
    Mu, Gui
    Dai, Zhengde
    Liu, Xi
    THERMAL SCIENCE, 2013, 17 (05): : 1486 - 1489
  • [45] The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method
    Vakhnenko, VO
    Parkes, EJ
    CHAOS SOLITONS & FRACTALS, 2002, 13 (09) : 1819 - 1826
  • [46] Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation
    Zhou-Zheng Kang
    Tie-Cheng Xia
    Wen-Xiu Ma
    Analysis and Mathematical Physics, 2021, 11
  • [47] Riemann-Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrodinger equation
    Liu, Wenhao
    Liu, Yan
    Zhang, Yufeng
    Shi, Dandan
    MODERN PHYSICS LETTERS B, 2019, 33 (33):
  • [48] Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
    Li, XM
    Chen, AH
    PHYSICS LETTERS A, 2005, 342 (5-6) : 413 - 420
  • [49] Multi-soliton solutions of a variable coefficient Schrodinger equation derived from vorticity equation
    Xu, Liyang
    Yin, Xiaojun
    Cao, Na
    Bai, Shuting
    NONLINEAR DYNAMICS, 2024, 112 (03) : 2197 - 2208
  • [50] A novel method for finding new multi-soliton wave solutions of the completely integrable equations
    Kuo, Chun-Ku
    OPTIK, 2017, 139 : 283 - 290
12345