地球旋转效应对X-型内孤立波间波-波相互作用的影响  

The Effect of the Earth’s Rotation on the Wave-Wave InteractionBetween X-Type Internal Solitary Waves

作　　者：泮龙翔 袁春鑫 Pan Longxiang;Yuan Chunxin(School of Mathematical Science,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2024年第4期163-174,共12页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(42006016);国家自然科学基金重点项目(91958206);山东省自然科学基金项目(ZR2020QD063);中央高校基本科研业务费(202264007,202265005)资助。

摘　　要：本文使用带旋转项的Kadomtsev-Petviashvili(KP)方程,将X-型波作为初始条件,进一步研究地球旋转对其的影响,并简要描述了KP方程和初始X-型波的表达式以及求解KP方程的边界条件和数值方法。从已经观测得到的波-波相互作用的形态中,选择了其中出现频率较高的3种进行研究,并得出演化结果。本文的研究结果可以加深我们对内孤立波动力学的理解,对海洋资源的开发利用和国防建设具有一定的意义。This paper uses the Kadomtsev-Petviashvili(KP)equation with a rotation term,with X-shaped waves as the initial condition,to further study the effect of Earth rotation on it.The KP equation and the expression of the initial X-shaped waves are briefly described,as well as the boundary conditions and numerical methods for solving the KP equation.From the observed forms of wave-wave interactions,three with higher frequencies were selected for research,and the evolution results were obtained,summarized and discussed.Studying the oblique wave-wave interactions of solitary waves in the ocean not only deepens our research on the dynamics of solitary waves,but also has important significance for the development and utilization of marine resources and national defense construction.

关 键 词：地球旋转效应 内孤立波 波-波相互作用 KP方程 

分 类 号：P731.2[天文地球—海洋科学]