摘要
文中得出了x-SG方程(1)的B(?)cklund变换和反散射形式。通过方程(1)的反散射解研究,我们得到了当特征问题(2.4)的位势u(x,t)(q(x,t)=-1/2 u_x(x,t))满足方程(1)时的散射量随时间的演化规律,并分别利用B(?)cklund变换和反散射方法,我们求出了方程(1)的孤子解,且它们是一致的。
in this paper, we obtained Backlund tranformation and inverse scattering form of equation(1), Through investigating the inverse scattering solution of equation(1), we obtained the evolution laws of scattering data with time development when the potentialu(x,t) (q(x,t) = -1/2ux(x,t)) of the eigenvalue problem (2.4) satisfied equation(1). Using Backlund transformation and inverse scattering method respectively, we found soliton solution of equation(1),and this solution is consistent.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1989年第1期81-95,共15页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
