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

IF 2.4 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Communications in Theoretical Physics Pub Date : 2024-09-04 DOI:10.1088/1572-9494/ad6a04
XiaoXia Yang, Lingling Xue, Q P Liu
{"title":"N = 2 a = 1 supersymmetric KdV equation and its Darboux–Bäcklund transformations","authors":"XiaoXia Yang, Lingling Xue, Q P Liu","doi":"10.1088/1572-9494/ad6a04","DOIUrl":null,"url":null,"abstract":"In this paper, we study the <italic toggle=\"yes\">N</italic> = 2 <italic toggle=\"yes\">a</italic> = 1 supersymmetric KdV equation. We construct its Darboux transformation and the associated Bäcklund 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.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad6a04","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

In this paper, we study the N = 2 a = 1 supersymmetric KdV equation. We construct its Darboux transformation and the associated Bäcklund 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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
N = 2 a = 1 超对称 KdV 方程及其达尔布-贝克伦变换
本文研究 N = 2 a = 1 超对称 KdV 方程。我们构建了它的达布变换和相关的贝克伦德变换。此外,我们还推导了一个非线性叠加公式,作为应用,我们计算了这个超对称KdV方程的一些解,并恢复了Kersten-Krasil'shchik耦合KdV-mKdV系统的相关结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Communications in Theoretical Physics
Communications in Theoretical Physics 物理-物理:综合
CiteScore
5.20
自引率
3.20%
发文量
6110
审稿时长
4.2 months
期刊介绍: Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.
期刊最新文献
Riemann–Hilbert approach and soliton solutions for the Lakshmanan–Porsezian–Daniel equation with nonzero boundary conditions Towards an efficient variational quantum algorithm for solving linear equations Path integral formalism of open quantum systems with non-diagonal system-bath coupling N = 2 a = 1 supersymmetric KdV equation and its Darboux–Bäcklund transformations Simulation study of multi-layer titanium nitride nanodisk broadband solar absorber and thermal emitter
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1