BINARY DARBOUX TRANSFORMATION FOR A NEGATIVE-ORDER AKNS EQUATION

被引：5
|
作者：
Amjad, Z. [1 ]
Khan, D. [1 ]
机构：
[1] Univ Punjab, Dept Phys, Lahore, Pakistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2021年 / 206卷 / 02期
关键词：
soliton; integrable system; Darboux transformation; binary Darboux transformation; quasideterminant; PROPAGATION;
D O I：
10.1134/S0040577921020021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a binary Darboux transformation for a negative-order AKNS equation. Iterating the transformation, we obtain N-fold quasi-Grammian solutions expressed in terms of quasideterminants. In some simple cases, we construct explicit solutions of the studied equation with nonvanishing and vanishing backgrounds including bright and dark breathers, a soliton, and solutions with one and two humps.
引用
收藏
页码：128 / 141
页数：14
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