SUPERFIELD B ACKLUND AND DARBOUX TRANSFORMATIONS OF AN N=1 SUPERSYMMETRIC COUPLED DISPERSIONLESSINTEGRABLE SYSTEM

被引：0
|
作者：
Mirza, A. [1 ,2 ]
ul Hassan, M. [1 ]
机构：
[1] Univ Punjab, Dept Phys, Quaid e Aazam Campus, Lahore, Pakistan
[2] Univ Punjab, Fac Comp & Informat Technol, Dept Software Engn, Quaid e Aazam Campus, Lahore, Pakistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 219卷 / 01期
关键词：
integrable system; supersymmetry; Darboux transformation; B & auml; cklund transformation; supersymmetric coupled dispersionless system; SOLITON-SOLUTIONS; BILINEARIZATION; KDV;
D O I：
10.1134/S0040577924040081
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use a superfield Darboux matrix to study Darboux transformations of an N = 1 supersymmetric coupled dispersionless integrable system. The notion of quasideterminants is used to obtain superfield N-soliton solutions of that system. A superfield Lax representation is used to obtain a superfield B & auml;cklund transformation via a set of superfield Riccati equations. The B & auml;cklund and Darboux transformations are further used to compute explicit expressions for superfield soliton solutions of the supersymmetric coupled dispersionless integrable system.
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页码：629 / 637
页数：9
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