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.

引用

页码：629 / 637

页数：9

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