Periodic and solitary pure gravity waves in water of infinite depth

solitary-waveThe paper “On periodic and solitary pure gravity waves in water of infinite depth“, by Jean-Marc Vanden-Broeck, has been published in the Journal of Engineering Mathematics.  Non-linear 2D travelling waves in infinite depth are considered. Gravity is taken into account, but surface tension is neglected. Accurate solutions are computed by boundary integral equation methods. Previous results on irregular waves are confirmed and extended. The computations strongly suggest the existence of non-periodic waves. These waves resemble generalised solitary waves in the sense that they are characterised by a train of oscillations in the far field. A link to the paper is here.

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