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一个Bargmann系统与耦合Burgers族解的对合表示
引用本文:斯仁道尔.一个Bargmann系统与耦合Burgers族解的对合表示[J].应用数学,1997,10(1):80-86.
作者姓名:斯仁道尔
作者单位:内蒙师大数学系!呼和浩特,010022
基金项目: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.

关 键 词:耦合Burgers族  换位表示  对合系  对合解

A Bargmann System and the Involutive Representation of Solution of the Coupled Burgers Hierarchies
Sirendaoreji.A Bargmann System and the Involutive Representation of Solution of the Coupled Burgers Hierarchies[J].Mathematica Applicata,1997,10(1):80-86.
Authors:Sirendaoreji
Abstract: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 .
Keywords:Coupled Burgers hierarchy  Commutator representation  Involutive system  Involutive solution
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