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

页码：128 / 141

页数：14

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