耦合的Burgers—Mkdv方程解的对合表示  

The Involutive Representation of the Solutions of Coupled Burgers—Mkdv Equations

作　　者：顾祝全[1] 张保才[1] 

机构地区：[1]石家庄铁道学院基础部

出　　处：《石家庄铁道学院学报》1993年第1期11-18,共8页Journal of Shijiazhuang Railway Institute

摘　　要：本文得到了Burgers—Mkdv方程和它的Lax表示;通过引进一个复形式的辛结构,产生了一个完全可积的复系统。进一步借助于可换流的对合解给出了孤子方程解的对合表示。In this paper, the coupled Burgers-Mkdv equation and its Lax representation are obtained. By means of the complex form of standard symplectic constructions, a complex finite dimensional Liouville completely imtegrable system is generated. So, the solutions of the soliton equation are obtained by making use of the solutions of commutative flows.

关 键 词：辛结构 复系统 对合解 微分几何 

分 类 号：O186.1[理学—数学]