基于修正非线性薛定谔方程的三维聚焦波组波谱演化
Spectrum Evolution of Three-Dimensional Focused Wave Groups Based on Modified Nonlinear Schr?dinger Equation
吴良夫 1卢文月 1张建宏 1李欣 1郭孝先1
作者信息
- 1. 上海交通大学海洋工程国家重点实验室,上海 200240;上海交通大学三亚崖州湾深海科技研究院,海南三亚 572025
- 折叠
摘要
为了研究深水三维聚焦波的定向演化,对4阶修正非线性薛定谔方程(MNLSE)、3阶非线性项薛定谔方程(NLSE)以及线性方程等3种演化模型进行数值求解,并对生成的波谱特征以及其演化过程中的能量转移、波陡变化、平均波数变化以及带宽变化等特征进行对比研究.研究结果表明:在2种非线性演化模型的演化过程中均存在能量向高波数和低波数的转移,导致波浪波形发生变化,且非线性还会影响聚焦波陡、聚焦波组达到聚焦所需时间以及带宽等参数的变化;上述特征在2种非线性演化模型中存在着显著差异,4阶MNLSE演化下的三维聚焦波组特征优于3阶NLSE的演化.
Abstract
The modified fourth-order nonlinear Schrödinger equation(MNLSE),the third-order nonlinear Schrödinger equation of(NLSE)and the linear equation,are numerically solved to generate directionally evolving three-dimensional focusing waves in deep water,and the spectral characteristics of the generated waves as well as the characteristics of the evolution process,including a comparative study is made on the spectral characteristics of the generated waves and their evolution in terms of energy transfer,change in wave steepness,change in average wave number and change in bandwidth.It is found that there is energy transfer to high and low wave numbers during the evolution of the two nonlinear evolution models,which leads to changes in the wave shape,and the nonlinearity also affects the changes in the parameters of the focusing wave steepness,the time required for the wave to reach the focus,and the change in the bandwidth,etc.Moreover,the above features are significantly different between the two nonlinear models,and the results show that the wave features of the fourth-order MNLS evolution are superior to those of the third-order MNLS evolution.
关键词
非线性薛定谔方程/三维聚焦波组/波谱演化/能量转移Key words
nonlinear Schrödinger equation(NLSE)/three dimensional focused wave group/spectral evolution/energy transfer引用本文复制引用
基金项目
国家自然科学基金面上项目(42376183)
三亚崖州湾科技城科技专项(SCKJ-JYRC-2022-13)
海南专项博士研究生科学研究基金项目(HSPHDSRF-2022-01-001)
出版年
2024
NETL
NSTL
万方数据