变系数KdV方程组的Bcklund变换及其精确解

Bcklund Transformations and Solitary Wave Solutions with Variable Velocity to Coupled KdV Equations with Variable Coefficients

利用齐次平衡原则，推导出变系数ＫｄＶ方程组的Ｂｃｋｌｕｎｄ变换，并借助于 该变换，求出了变系数ＫｄＶ方程组的精确解，并且得出方程的变系数不改变孤立 波的形状，却改变孤立波的波速。

By using homogeneous balance principle , the B■cklund transformations to the coupled KdV equations with variable coefficients are derived if the coefficients of the equation are linearly dependent. Based on the B■cklund transformation , a solitary wave solutions with variable propagation velocity are obtained.