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We derived the dispersion relation (correct to the second order in wave slope) of nonlinear waves in a developing process, proved that there are mainly three time scales in a developing process of nonlinear waves governed by coupling mechanisms. The three time scales are oscillation, evolution and developing time scales. We also proved that even in the developing process of nonlinear waves, there is no term in dispersion relation in proportion to the first order of wave slope. In a stationary case our results agreed with the discrete form obtained by Weber in 1977. Our computed results of wave speed in the wallops spectrum were in good agreement with the laboratory measurements made by Ramamonjiarisoa (1976) in energy-containing range. 相似文献
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成长过程中非线性水波的色散关系 总被引：2，自引：0，他引：2
本文讨论了成长过程中非线性水波的色散关系。得到了精确到波陡二次方的非线性色散关系,证明了在偶合机制控制下的非线性成长过程具有多重时间尺度(即振荡、演化和成长的时间尺度)。还证明了即使在成长过程中的水波色散关系中也不含有与波陡一次方成正比的非线性修正项。在极限情况下,我们又得到了非成长水波色散关系的一般表达式。用Wallops谱进行数值计算的结果表明,我们的理论适用于低频波和含能波段;与实验数据的比较表明,在含能波段的理论值和实测值很接近。 相似文献
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