基于NLS方程的畸形波演化规律研究

Numerical Simulation and Evolution of Rogue Wave Based on NLS Equation

本文探讨了高斯包络形态畸形波在有限水深处的生成和演化规律。首先,基于理论解与数值解的对比,验证NLS方程求解的准确性;其次,基于NLS方程,研究高斯包络形态畸形波的生成演化规律。研究表明:在有限的水深下,高斯包络的演化会发生色散效应;高斯包络的初始波幅增大时,色散现象减弱,高斯包络的演化呈现出孤子的特性。

In this paper, the generation and evolution of Gaussian envelope abnormal waves in finite water depth are discussed.Firstly, based on the comparison between theoretical solutions and numerical solutions, the accuracy of NLSE is verified. Secondly,based on NLSE, the generation and evolution law of Gaussian envelope abnormal wave is studied. The results show that the evolution of Gaussian envelope will have dispersion effect under limited water depth. When the initial amplitude of Gaussian envelope increases, the dispersion phenomenon decreases, and the evolution of Gaussian envelope presents the characteristics of soliton.