摘要
本文从流体力学基本方程组出发,在非地转条件下导得了分层海洋的内孤立波方程—Kbv和mKdv方程,证实了在非地转条件下,一类海洋非线性波动是可以严格满足内孤立波方程的。在地转条件下采用f平面近似导出了KdV方程的演化形式一有源KdV方程,地转的影响含于源项中。由初步的分析得出,f对KdV方程的影响是微弱的。由已得的KdV和mKdV方程的解可知,内孤立波与线性波有着本质差别。
The equations of internal solitary waves in the strati ied ocean are derived from the basic equations of hydrodynamics under ageostrophic condition and it is Conformed that a kind of nonlinear waves in the ocean exactly satisfies the equation of internal solitary waves. The evolutionary form of the KdV equation-the KdV equation with source term is derived under geostrophic condition with f-plane approximation and the geostrophic influence is contained in the source term. Analysis shows that the influence of f to the KdV equation is weak. By solving the KdV and mKdV equations, it is clearly shown that there are basic differences between the solitary waves and linear waves.
基金
国家自然科学基金
关键词
海洋
分层流
内孤立波
KDV方程
internal solitary wave
the modiftd KdV equation
the stratified flow
the KdV equation
