一个Bargmann系统与耦合Burgers族解的对合表示  

A Bargmann System and the Involutive Representation of Solution of the Coupled Burgers Hierarchies

作　　者：斯仁道尔吉 

机构地区：[1]内蒙师大数学系,呼和浩特010022

出　　处：《应用数学》1997年第1期80-86,共7页Mathematica Applicata

基　　金：内蒙古自治区自然科学基金

摘　　要：本文给出耦合Burgers族的换位表示，并通过对耦合Burgers族Lax系统的非线性化得到一个Bargmann系统，证明该系统为Liouville完全可积的，还给出耦合Burgers族解的对合表示.The commutator representations of the coupled Burgers hierarchy are presented.Through the nolinearization of Lax system of the coupled Burgers hierarchy, aBalgrnann system is obtained and is proved to be a completely integrable system inLiouvilie's sense. The involutive representations of soluhons for the coupled Bugers hierarchy are also given in this paper .

关 键 词：耦合Burgers族 换位表示 对合解 BARGMANN系统 

分 类 号：O175.2[理学—数学]