摘要
本文将Weiss等人提出的非线性偏微分方程的Painlevé性质及其相应的方法用来研究Burgers方程族,证明了具有Painevé性质,同时得到了Bcklund变换,Lax对,对称和强对称.
In this paper,Painlevéanalysis is applied to a family of Burgersequations and it is proved that they possess the Painlevé property for partialdifferential equations.The properties of completely integrable Burgers equations,such as B(?)cklund transformation,Lax pair,symmetry and so on,are obtaineduniformly with Painlevèanalysis.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1990年第2期16-22,共7页
Journal of Shanghai Jiaotong University
