一类kdv—kp方程的Lax表示和Bcklund变换

Lax Representation and Bcklund Transformation for a Kind of kdv-kp Equations

本文由方程的变换和谱问题的规范变换获得一个方法,导出了一类 kdv—kp 方程的 Lax 表示从 kdv 和 kp 方程的 Lax 对,并得到其 Bck-lund 变换、方程的不变变换和守恒律.

In this paper,a method is obtained by the transformation of equations and the guage transformation of spectral problems.Lax representation for a kind of kdv-kp equations is deduced from the kdv and kp Lax pair.And Bcklund transformation,invariant transformation and conservation laws are acquired.