摘要
深水波列传播是多影响因素共同作用的物理过程,寻求合理的参数来表征深水波列传播过程中各因素的影响,对了解深水波列传播特征有重要意义。文章基于BMNLS方程的不稳定性分析,得到一关于波陡、频带宽度和频率的特征参数Ui,并指出在深水波列传播过程中,当Ui<1时波列是稳定的,在Ui>1时波列为不稳定的,并随Ui的增大,不稳定性及非线性作用不断增强。同时针对边带扰动波列的传播,指出此参数可有效地表示深水波列传播特征。
The propagation of deep-water wave trains is influenced by many factors such as wave steepness and frequency. It is important to find a parameter to express the relation of the factor in the deep-water wave trains propagation. In this paper, a characteristic parameter on the wave steepness, the band width and the frequency was obtained by the instability analysis based on the BMNLS equation. During the propagation, it was unstable when Ui〉1. The instability and nonlinearity effect was more obvious with the increase of Ui.The parameter was available to express the characteristic of the deep-water wave trains propagation.
出处
《水道港口》
2014年第1期32-37,共6页
Journal of Waterway and Harbor
基金
国家自然科学基金项目(41306034)"深水波浪非线性及不稳定性演变机理研究"
国家自然科学基金项目(51209111)"粉砂质海岸潜堤防淤减淤机理研究"
中央级公益性科研院所基本科研业务费专项资金项目(TKS100108)"复杂地形下波浪变形及沿岸输沙机理研究"
关键词
非线性薛定谔方程
稳定性
尺度因子
波陡
特征参数
nonlinear schrodinger equation
instability
scale factor
wave steepness
characteristic parameter
