Bilinear approach to N=2 supersymmetric KdV equations  

作　　者：ZHANG MengXia LIU QingPing SHEN YaLi WU Ke 

机构地区：[1]Department of Mathematics,China University of Mining and Technology,Beijing 100083,China [2]School of Mathematical Sciences,Capital Normal University,Beijing 100037,China [3]Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China

出　　处：《Science China Mathematics》2009年第9期1973-1981,共9页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10671206,10231050);NKBRPC(Grant No.2004CB318000);Beijing Jiao-Wei Key Project(Grant No.KZ200810028013)

摘　　要：The N=2 supersymmetric KdV equations are studied within the framework of Hirota bilinear method. For two such equations, namely N=2, a=4 and N=2, a=1 supersymmetric KdV equations, we obtain the corresponding bilinear formulations. Using them, we construct particular solutions for both cases. In particular, a bilinear Bcklund transformation is given for the N=2, a=1 supersymmetric KdV equation.The N = 2 supersymmetric KdV equations are studied within the framework of Hirota bilinear method. For two such equations, namely N = 2, a = 4 and N = 2, a = 1 supersymmetric KdV equations, we obtain the corresponding bilinear formulations. Using them, we construct particular solutions for both cases. In particular, a bilinear B?cklund transformation is given for the N = 2, a = 1 supersymmetric KdV equation.

关 键 词：supersymmetric KdV equation Hirota bilinear form SOLITONS Backlund transformation Lax representation 

分 类 号：O175[理学—数学]