【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。更多还原

【Abstract】 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.更多还原