摘要
对一类非线性偏微分方程组进行行波约化和相似约化,使原来的偏微分方程约化为常微分方程,并对此常微分方程进行Painleve分析,进一步给出此类非线性偏微分方程约化后的常微分方程组只有“弱”Painleve性质,还给出微分方程具有“弱”Painleve性质的一个例证。
The nonlinear differential equations are reduced by the travelling wave solution and similarity reductions, then the ordinary differential equations are obtained and the equations are discussed by Painleve analysis. An example of differential equations with ' weak Painleve property is given.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2003年第2期115-117,共3页
Acta Scientiarum Naturalium Universitatis Sunyatseni