WKI方程族的扩展可积系统

An Expanding Integrable Systems of WKI Hierarchy

通过构造特殊的等谱矩阵U和V以及构造的一个维数为5的loop代数,得到了WKI方程族的可积耦合系统,即WKI的一类扩展可积系统。我们所选取的V中既含有位势函数,又含有a,b或c关于x的偏导数项,所构造出来的扩展可积系统与已有结果不同。

By constructing a high-order Loop algebra and especial isospectral matrix U and V, an integrable coupling model of WKI hierarchy is obtained. It is pointed out that the expanding integrable systems are different from results existed. The matrix V which was given in the paper not only possesses potential functions, and also includes partial derivative terms of a, b or c with respect to x.