Self-similar solutions to super-critical gKdV
Analysis of PDEs
2015-02-24 v1
Abstract
We construct self similar finite energy solutions to the slightly super-critical generalized KdV equation. These self similar solutions bifurcate as a function of the exponent from the soliton at the critical exponent.
Cite
@article{arxiv.1404.4591,
title = {Self-similar solutions to super-critical gKdV},
author = {Herbert Koch},
journal= {arXiv preprint arXiv:1404.4591},
year = {2015}
}