N=2a=1 supersymmetric KdV equation and its Darboux-B?cklund transformations  

作　　者：XiaoXia Yang Lingling Xue Q P Liu 

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Bejing 100048,China [2]Department of Applied Mathematics,Ningbo University,Ningbo 315211,China [3]Department of Mathematics,China University of Mining and Technology,Beijing 100083,China

出　　处：《Communications in Theoretical Physics》2024年第11期12-19,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.12175111,11931107 and 12171474);NSFC-RFBR (Grant No.12111530003)。

摘　　要：In this paper,we study the N=2a=1 supersymmetric KdV equation.We construct its Darboux transformation and the associated B?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.

关 键 词：B?cklund transformations integrable systems Darboux transformations nonlinear superposition formula supersymmetric integrable systems 

分 类 号：O175[理学—数学]