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SOME NONLINEAR BEHAVIOUR OF FREAK WAVES AND ENVELOPE SOLITONS

机译:怪异波和包络孤子的某些非线性行为

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摘要

The nonlinear Schroedinger-like equations are widly used models for investigating the evolution of surface gravity waves with narrow-banded spectra. We numerically compare one of tee simplified models with a fully nonlinear one. In particular, we study the long time evolution of wave groups. Although the simplified model predicts the right number of soliton formed, their behaviour and long time evolution is not well described. SoIitons interact differently with the two models. During the interaction, freak waves are formed. Their occurence is more frequent with the fully nonlinear model. A more interesting phe-nomemon is, during the formation of freak waves, the wave enve-lope oscillates rapidly. This "intermittence" is not at all predicted by any weakly nonlinear model.
机译:非线性的类似于Schroedinger方程的模型被广泛用于研究窄谱带表面重力波的演化。我们在数值上将三通简化模型之一与完全非线性模型进行比较。特别是,我们研究了波浪群的长期演化。尽管简化的模型可以预测形成的孤子数量,但是并没有很好地描述其行为和长时间演化。孤岛与两个模型的交互方式不同。在交互过程中,形成了怪胎波。在完全非线性模型中,它们的出现更为频繁。一个更有趣的phe-nomemon是,在畸形波的形成过程中,波包络线迅速振荡。任何弱非线性模型都根本无法预测这种“间歇性”。

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