摘要
本文研究带非均匀项的Sine-Gordon方程 u_(xt)=sinu+(αxu_x)_x(α为参数)(1)的Painleve性质。我们给出无穷小Lie变换,得到(1)的相似解满足的常微分方程,它属于第Ⅲ型的Painleve方程,最后我们指出方程(1)具有偏微分方程的Painleve性质。
In the paper we investigete the painleve property for Sine-Gordon equation with nonunifornity ternsuxt = sinu + (axux)x (where a is a parameter) (1)We give infinitesimal Lie's transformation, obtain an ordinary differential equation for similerity solution of (l), it reducible to third painleve equation.Finally, we show that there is the painleve' property of partial differential equation jn equation (l).
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第4期587-590,共4页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
