基于非线性薛定谔方程的波浪预报方法研究

Research on wave prediction method based on nonlinear Schr?dinger equation

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。

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 Schrodinger equation, and a method to calculate eigenvalues from measured wave height time series is given. Then the calculated eigenvalues are used to predict spatialtemporal 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.