基于柱Kadomtsev-Petviashvili模型的海洋内孤立波非线性相互作用传播特征仿真模拟研究

在考虑到海洋内波的二维效应时,含有横向微扰的二维模型可以较好地模拟海洋内波的传播,因此为更好地描述海洋内波这一复杂非线性现象的传播特性,利用二维柱Kadomtsev-Petviashvili模型研究了海洋内波非线性相互作用的传播特征。首先,利用解析法获得该二维模型的双抛物线型孤子解,同时模拟研究了南海东沙群岛的海洋内波的弹性碰撞及随时间变化的传播特性;其次,基于不同的海域背景参数分析研究了上升型和下降型抛物线海洋内波弹性碰撞引起的海洋表层流速的变化。经比较分析,本文模拟结果与已有的遥感卫星图像较一致,因此可为进一步深入研究海洋内波的传播特性、动力学机制解及内波参数反演等提供一定的借鉴。

Simulation investigations on nonlinear interaction of ocean internal waves via the cylindrical Kadomtsev-Petviashvili model

In view of the two-dimensional effects of ocean internal waves, the two-dimensional model containing transverse perturbation can well simulate the propagation character of ocean internal waves. In this paper, the cylindrical Kadomtsev-Petviashvili model has been used to depict the propagation character of nonlinear interaction of ocean internal waves. By making use of the analytical method, the biparabolic solitary solution of this 2-dimensional equation is derived. The elastic collision and the time-varying propogation character of ocean internal waves of Dongsha Islands of the South China Sea are studied and simulated .The simulation results are consistent with that of remote sensing satellites images, and then can be provided as a reference for further research on nonlinear interaction and polar transformation of ocean internal waves.