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arXiv · 2003.14041

On connection between the splitting parameters of KdV initial datum and its conservation quantities

Alexey Samokhin
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Abstract

An arbitrary compact-support initial datum for the Korteweg-de Vries equation asymptotically splits into solitons and a radiation tail, moving in opposite direction. We give asimple method to predict the number and amplitudes of resulting solitons and some integral characteristics of the tail using only conservation laws.

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Alexey Samokhin. 2020-03-31. On connection between the splitting parameters of KdV initial datum and its conservation quantities. https://arxiv.org/abs/2003.14041

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