摘要
利用齐次平衡原则，推导出变系数ＫｄＶ方程组的Ｂｃｋｌｕｎｄ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.
出处
《杭州电子工业学院学报》
2002年第1期59-61,共3页
Journal of Hangzhou Institute of Electronic Engineering
关键词
变系数KcV方程组
齐次平衡原则
BACKLUND变换
精确解
Coupled KdV equations with variable coefficients
Homogeneous balance principle
B■cklund transformation
Exact solution.
