发展方程基本解和Hodograph变换

Fundamental solutions and Hodograph transformations of evolution equations

研究了一类二阶非线性发展方程及方程组柯西问题.这一类方程和方程组可以通过点变换形式的Hodograph变换线性化,利用相应线性方程(组)基本解及Hodograph变换可以求出非线性方程柯西问题的精确解.

Cauchy problems of some nonlinear scalar systems of evolution partial differential equations that can be linearized through Hodograph transformations were studied, and they could be solved explicitly by hodograph transformations and fundamental solutions of the corresponding linear equations.