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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。
Based on the basic equations of hydrodynamics, we derive the internal solitary wave equation-Kbv and mKdv equations of non-geostationary sea under non-geostationary conditions, and prove that under non-geostationary conditions, a class of oceanic nonlinear fluctuations can be strictly satisfied Internal solitary wave equation. Under the geostationary condition, the evolution form-active KdV equation of KdV equation is approximated by f-plane, and the influence of geostrophic rotation is included in the source term. From the preliminary analysis, we can see that the influence of f on the KdV equation is weak. From the obtained solutions of KdV and mKdV equations, it can be seen that intrinsic solitary waves and linear waves have essential differences.