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.
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页数：20
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