摘要
本文给出了一类CL(守恒律)方程的可逆变量变换,借助这种变换表明一类CL方程是准确可解的,这类方程等价于线性方程,Burgers方程(包括高阶Burgers方程)或者KdV方程(包括mKdV方程),并求出了几个CL方程的准确解.
In this paper, the inversible transformations for a class of CL (conservation law) equations are given, by which it is shown that some nonlinear CL equations are exactly solvable and they are equivalent to the linear ones, or the Burgers (including the higher order Burgers) and the KdV (including mKdV). The exact solutions of several nonlinear CL equations are given.
出处
《应用数学》
CSCD
北大核心
1990年第1期71-77,共7页
Mathematica Applicata
基金
国家自然科学基金
