摘要
Painleve方程是六类重要的二阶代数微分方程,它们的发展(?)直受到人们的关注.解的渐近性态是重要的研究方向.由于解的渐近性态难以直接观察出来,所以我们用微分方程数值解研制出Painleve方程解的渐近性态的分析系统.通过此系统对Paileve方程解的渐近性态进行分析,已经得到(?)些结果,部分结果与有关文献的结果相当吻合,进而为从理论上找出具体的相关性质提供了方法和依据.
The Painleve equation are six kinds important second differential equation. Their development has been being concerned. The asymptoties behavior of solutions is an important research trend. It is difficult to observe the asymptoties behavior of solutions, so the analysis system of Painleve equation has been studied by means of the numerical solution of differential equations. By this system, the asymptoties solutin of the third, fifth, sixth Painleve equation has been further done, and some results have obtained. Some of those results conform that form related documents. Therefore the numerical solutions analysis has provided a way and reference for theoretically seeking concrete relevant characteristics.
出处
《数值计算与计算机应用》
CSCD
2005年第1期58-64,共7页
Journal on Numerical Methods and Computer Applications
