Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation-Reference-Cited by-同舟云学术

Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation

Published:2023-06-01 Issue:6 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Jia Yangjie¹^ORCID,Wang Shen²,Maduojie Ban³^ORCID

Affiliation:

1. Department of Mathematics, Nationalities College of Qinghai Normal University 1 , Xining 810008, China

2. School of Mathematics, China University of Mining and Technology 2 , Xuzhou 221116, China

3. School of Mathematics and Statistics, Qinghai Normal University 3 , Xining 810008, China

Abstract

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.

Funder

National Natural Science Foundation of China-Shandong Joint Fund for Marine Science Research Centers

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0151842/17971371/063505_1_5.0151842.pdf

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