一个 $$\mathcal N=1$$ 超对称耦合无分散可积分系统的超场贝克隆和达尔布克斯变换

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI:10.1134/s0040577924040081

A. Mirza, M. ul Hassan

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引用次数: 0

摘要

摘要我们使用超场达布矩阵来研究一个（\mathcal N=1\）超对称耦合无分散可积分系统的达布变换。准决定子的概念被用来获得该系统的超场（N）-索利子解。超场拉克斯表示被用来通过一组超场里卡提方程获得超场贝克伦德变换。Bäcklund 变换和 Darboux 变换被进一步用于计算超对称耦合无色散可积分系统的超场孤子解的显式表达。

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Superfield Bäcklund and Darboux transformations of an $$\mathcal N=1$$ supersymmetric coupled dispersionless integrable system

Abstract

We use a superfield Darboux matrix to study Darboux transformations of an $\mathcal N=1$ 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 Bäcklund transformation via a set of superfield Riccati equations. The Bäcklund 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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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.