超对称非线性方程的延伸结构及其Bäcklund变换

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-06-01 DOI:10.1063/5.0151842

Yangjie Jia, Sheng-Nan Wang, Ban Maduojie

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引用次数: 0

摘要

Heisenberg超磁体模型是一个超对称系统，与强电子相关的Hubbard模型关系密切。本文利用超对称延伸结构来分析高阶超对称非线性方程。对该方程的扩展代数构造了Lax表示。通过简化计算，得到了超对称非线性Schrödinger方程的Bäcklund变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation

The Heisenberg supermagnet model is a supersymmetric system and has a close relationship with the strong electron-correlated Hubbard model. In this paper, the supersymmetric prolongation structure is used to analyze the high order supersymmetric nonlinear equation. The Lax representation is constructed for the prolongation algebra of this equation. The Bäcklund transformation of the supersymmetric nonlinear Schrödinger equation is obtained by simplified calculation.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.