非线性弦的变分原理与减缩摄动解法

Variational principles and reductive perturbation approach to nonlinear vibrating string

用变分原理推导出了非线性弦振动方程 ,并用减缩摄动法 (Reductiveperturbationmethod)

According to variational principles,the equation of nonlinear vibrating string is obtained.With reductive perturbation method,a Kor tweg-de Vries equat ion is derived,which is easier to solve than the original form equation of nonli near vibrating string.