Broer-Kaup系统高阶约束流与Lagrangina-Hamilton系统

High order Constrained Flows of Broer Kaup System and a Lagrangian Hamilton System

】讨论了与Ｂｒｏｅｒ－Ｋａｕｐ方程相联系的高阶约束流，利用高阶约束流，得到方程族Ｌａｘ表示的时间部分与空间部分都具有一种伴随形式表示，并由此得到了高阶约束流与Ｌａｇｒａｎｇｉｎａ－Ｈａｍｉｌｔｏｎ系统之间的联系。

In this paper,the high order constrained flows of the Broer Kaup equation are discussed.By means of the high order constrained flows,the adjoin Lax pairs of the equation hierarchy are obtained.Furthermore,the relation of the high order constrained flows and Laranginga Hamilton systems is given.