大振幅波非线性相互作用的谱分解法研究

Nonlinear interaction between large amplitude waves studied through spectral decomposition

针对两波非线性相互作用中大振幅波幅度及能量的变化问题,采用了谱分解方法对其进行了研究.对高低频波频率比为整数的两波非线性相互作用情况进行了讨论,研究非线性相互作用中各参数对作用结果的影响,并进行了计算机仿真计算.计算结果表明:在非线性相互作用后,低频波能量随作用距离的增加而降低;能量降低的大小与高低频波频率比、高频波能量大小等因素有关.将两波非线性相互作用的谱分解法计算结果,与经典的Fen lon理论计算结果进行对比,两种方法的计算结果具有较好的一致性.

Analysis of nonlinear interactions between large amplitude waves was conducted through a study of changes to the amplitude and energy of the waves.This was done by applying spectrum decomposition methods.When the ratio of the two frequencies was an integer,nonlinear interaction was analyzed in terms of the influences of the parameters on interaction.Results simulated on computers showed that,due to the nonlinearity of the interaction,the energy of the low-frequency waves fell as the distance increased and the decrease was related to the frequency ratio and the energy of the high-frequency wave.Calculated results derived from spectrum decomposition were compared with theoretical results from Fenlon theory.Good consistency was found between the two methods.