AKNS方程族约化为Burgers方程族

Transformation From AKNS Hierarchy to Burgers Hierarchy

本文研究了AKNS方程族到Burgers方程族的约化关系.首先,由一阶单特征值问题出发得到了Bur-gers方程族;其次,引入了AKNS方程族,并研究了该方程族与Burgers方程族的关系;最后给出结论,AKNS方程族可以约化为Burgers方程族,这样就可以由Burgers方程族的解得到AKNS方程族的一些特殊形式的解.

The research of the relationhetween Burgers hierarchy and AKNS hierarchy is carried out. First, is the reality the Burgers hierarchy is deduced. The transformation from Burgers hierarchy to AKNS hierarchy is the reality. At last, the conclusion is that some special solutions of AKNS hierarchy from varioussolutions of Burgers hierarchy are obtained.