摘要
分析了非线性Ｔｕ系统的截断Ｐａｉｎｌｅｖｅ级数，得到了Ｔｕ系统与Ｒｉｃｃａｔｉ型方程Φｉ一Φｘ＝αΦ２＋βΦ＋γ的关系，并揭示了Ｒｉｃｃａｔｉ型方程本身的一些性质．最后借助于Ｒｉｃｃａｔｉ型方程给出了Ｔｕ系统的三类显式的精确解．
The truncated Painleve series for nonlinear Tu system is carefully analysed.The relations of Tu system to the equation φi- φx = αφ2 +βφ+ γ of Riccati type are derived from the series and some properties on that equation of Riccati type itself are exposed. Further, three sorts of explicit exact solutions to Tu system arc proposed by considering the above equation of Riccati type.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1994年第3期319-326,共8页
Journal of Fudan University：Natural Science
关键词
可积系统
PAINLEVE分析
TU系统
integrable system
Painleve analysis
truncated Painleve series
equation of Riccati type
