N=2a=1 supersymmetric KdV equation and its Darboux-Bäcklund transformations

被引：0
作者：
Yang, XiaoXia [1 ]
Xue, Lingling [2 ]
Liu, Q. P. [3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Ningbo Univ, Dept Appl Math, Ningbo 315211, Peoples R China
[3] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2024年 / 76卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Backlund transformations; integrable systems; Darboux transformations; nonlinear superposition formula; supersymmetric integrable systems; PERIODIC-WAVE SOLUTIONS; BACKLUND-TRANSFORMATIONS; SOLITON-SOLUTIONS; EXTENSION;
D O I：
10.1088/1572-9494/ad6a04
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the N = 2a = 1 supersymmetric KdV equation. We construct its Darboux transformation and the associated B & auml;cklund transformation. Furthermore, we derive a nonlinear superposition formula, and as applications we calculate some solutions for this supersymmetric KdV equation and recover the related results for the Kersten-Krasil'shchik coupled KdV-mKdV system.
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页数：8
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