一类Lax可积系

A Class of Lax Integrable Systems

建立了一个新的Loop代数,由此得到了一个比较复杂的Lax对。通过选取恰当修正项,由零曲 率方程获得一族新的Lax可积系,作为其约化情形,得到了一类耦合非线性演化方程。

A new Loop algebra is established from which a more complicated Lax pair is obtained. By choosing proper modified terms,a new Lax integrable system is presented via the use of zero-curvature equation. As its reduction,a coupled nonlinear evolution equation is followed.