KdV equation beyond standard assumptions on initial data
Mathematical Physics
2018-01-17 v1 math.MP
Abstract
We show that the Cauchy problem for the KdV equation can be solved by the inverse scattering transform (IST) for any initial data bounded from below, decaying sufficiently rapidly at plus infinity, but unrestricted otherwise. Thus our approach doesn't require any boundary condition at minus infinity.
Keywords
Cite
@article{arxiv.1710.02933,
title = {KdV equation beyond standard assumptions on initial data},
author = {Alexei Rybkin},
journal= {arXiv preprint arXiv:1710.02933},
year = {2018}
}
Comments
To appear in Physica D: nonlinear phenomena