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.

引用

页数：8

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