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基于非线性薛定谔方程的波浪预报方法研究
引用本文:张新宇,韩佳,王骁,石爱国.基于非线性薛定谔方程的波浪预报方法研究[J].海洋学报,2019,41(11):15-24.
作者姓名:张新宇  韩佳  王骁  石爱国
作者单位:1.大连舰艇学院 航海系,辽宁 大连 116018
摘    要:为探索海浪波面信息的实时预报方法,以三阶非线性薛定谔(NLS)方程的逆散射变换求解为基础,通过理论推导,给出了一种由实测波高时历数据计算其NLS方程本征值的方法,进一步实现了对波浪包络时空演变的预报。通过预报结果与实测波列的比对,验证了方法的有效性和准确性。该方法可为船舶或海上平台的大浪预警,以及为大波浪中海上作业寻找窗口期等提供一条新的技术途径。

关 键 词:NLS方程    逆散射变换    本征值    预报
收稿时间:2018/8/19 0:00:00
修稿时间:2019/2/2 0:00:00

Research on wave prediction method based on nonlinear Schrödinger equation
Zhang Xinyu,Han Ji,Wang Xiao and Shi Aiguo.Research on wave prediction method based on nonlinear Schrödinger equation[J].Acta Oceanologica Sinica (in Chinese),2019,41(11):15-24.
Authors:Zhang Xinyu  Han Ji  Wang Xiao and Shi Aiguo
Institution:1.Dalian Naval Academy, Dalian 116018, China2.PLA Unit of 31010, Beijing 100081, China
Abstract:In order to study the real-time prediction method of ocean wave information, some theoretical derivation is made based on inverse scattering transformation of cubic Schrödinger equation, and a method to calculate eigenvalues from measured wave height time series is given. Then the calculated eigenvalues are used to predict spatial-temporal evolution of wave envelope. The predictions are then compared with measured time series, the results show the method has good effectiveness and accuracy. This method can provide support for big wave warning of ships or offshore platform, and time windows seeking for offshore operation under heavy sea.
Keywords:nonlinear Schrödinger equation  inverse scattering transform  eigenvalues  predict
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