Burgers-KdV行波解方程的可积性条件  

Integrable Condition About Travelling Wave Solution Equation of Burgers-KdV Equation

作　　者：高纪欣[1] 雷锦志[2] 管克英[1] 

机构地区：[1]北方交通大学理学院,北京100044 [2]清华大学理学院,北京100084

出　　处：《北方交通大学学报》2003年第3期38-42,共5页Journal of Northern Jiaotong University

摘　　要：利用整除定理严格论证了在参数满足特殊关系时Burgers＿KdV行波解方程才存在代数曲线解,并且仅在此参数关系下方程是Liouville可积的.By division theorem of polynomial functions, we prove strictly that the travelling solution equation of Burgers_KdV equation has the algebraic curve solution if and only if parametres satisfy the special relation. Only in the case of Liouville integrable is this equation.

关 键 词：整除定理 代数曲线解 LIOUVILLE可积 

分 类 号：O175.14[理学—数学]