基于变系数Korteweg-de Vries方程的海洋内孤立波非线性相互作用仿真模拟研究

SIMULATION INVESTIGATION ON THE NONLINEAR INTERACTION OF INTERNAL WAVES VIA THE VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION

本文主要是利用含有散射项和微扰项的变系数Korteweg-de Vries方程的双孤子解对海洋内孤立波的非线性相互作用进行研究。在南海东沙群岛海域,着重分析该弹性碰撞在合成孔径雷达图像上的信号特征,同时研究耗散项和微扰项对海洋内孤立波的弹性碰撞引起的表层流速的影响。

Utilizing the analytical two-soliton solutions of the variable-coefficient Korteweg-de Vries equation including the dissipative and perturbed terms,the nonlinear interaction of ocean internal waves is investigated.In the Dongsha Islands of South China Sea,the variation of signature characteristic for this type elastic interaction on SAR image is discussed.Furthermore,the effects of dissipative and perturbed terms on the nonlinear interaction of internal waves and horizontal velocity of the ocean surface current are also presented.