Singular Miura type initial profiles for the KdV equation
Exactly Solvable and Integrable Systems
2011-08-12 v1 Analysis of PDEs
Spectral Theory
Abstract
We show that the KdV flow evolves any real singular initial profile q of the form q=r'+r^2, where r\inL_{loc}^2, r|_{R_+}=0 into a meromorphic function with no real poles.
Cite
@article{arxiv.1108.2314,
title = {Singular Miura type initial profiles for the KdV equation},
author = {Sergei Grudsky and Alexei Rybkin},
journal= {arXiv preprint arXiv:1108.2314},
year = {2011}
}
Comments
9 pages