On connection between the splitting parameters of KdV initial datum and its conservation quantities
Exactly Solvable and Integrable Systems
2020-04-01 v1 Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.2003.14041,
title = {On connection between the splitting parameters of KdV initial datum and its conservation quantities},
author = {Alexey Samokhin},
journal= {arXiv preprint arXiv:2003.14041},
year = {2020}
}
Comments
12 pages, 18 figures