MKdV方程的反散射解  

THE INVERSE SCATTERING SOLUTION OF THE MKdV EQUATION

作　　者：赵申琪[1] 徐宝智[1] 

机构地区：[1]浙江大学

出　　处：《高校应用数学学报（A辑）》1989年第3期398-402,共5页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：本文考虑修正KdV(MKdV)方程u_t+6u^2u_x+u_(xxx)=0的反散射解,给出当反射系数为零且特征根为纯虚数时解的简洁表达式,并讨论了单孤子解和双孤子解。In this paper, we consider the inverse scattering solution of the MKdV equation ut+6u2ux + uxxx = 0A particularly simple expression of the solution is obtained. And the single soliton and two soliton solution are discussed.

关 键 词：MKDV方程 反散射解 KDV方程 

分 类 号：O175.2[理学—数学]