Davey-Stewartson类方程和穿衣服方法

Davey-Stewartson Type Equations and Dressing Method

分别从两种变系数初始微分算子出发,利用推广的穿衣服方法,通过讨论初始微分算子的多种矩阵形式,导出了两大类Davey-Stewartson类方程.其中,一类需经过坐标变换得到,而另一类则不需要坐标变换.对于特殊的情况,给出相应方程的显式解.

Two kinds of Davey-Stewartson type equations were derived by virtue of the generalized dressing method,which was based on two kinds of variable-coefficient initial differential operators.Several matric forms of the initial differential operator were discussed.Exactly one of the two kinds of the Davey-Stewartson type equations was obtained by using the coordinate transformation.The explicit solution to one of the special Davey-Stewartson type equations was discussed.