A Research On Soliton Solutions Of The Supersymmetry Cylindrical Korteweg-de Vries Equation

In this paper,the supersymmetry Cylindrical Korteweg-de Vries(CKdV)equation is presented.The soliton solutions for the supersymmetry CKdV equation are derived by Hirota method,Backlund transformation and Wronskian technique.First,the CKdV equation can be supersymmetry by direct method.Through variable transformation and bilinear method,the supersymmetry CKdV equation can be written into the bilinear form.Soliton solutions for supersymmetry CKdV equation are got by supersymmetry bilinear derivative.Besides,solutions to supersymmetry CKdV equation are derived by means of Wronskian technique and Laplace theorem.At the same time,we demonstrate that the N-soliton solutions and Wronskian solutions of supersymmetry CKdV equation is consistency.Third,starting from the bilinear equation of supersym-metry CKdV equation,we get the generalized bilinear Backlund transformation.By the commutability of the bilinear Backlund transformation,we give the one soliton solution,two soliton solution and three soliton solution for the supersymmetry CKdV equation.