Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves
Analysis of PDEs
2009-02-03 v1
Abstract
Various shock and rarefaction-type similarity solutions of the third-order nonlinear dispersion equation in 1D are constructed. Blow-up of some solutions are proved by different techniques.
Cite
@article{arxiv.0902.0253,
title = {Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves},
author = {V. A. Galaktionov and S. I. Pohozaev},
journal= {arXiv preprint arXiv:0902.0253},
year = {2009}
}
Comments
32 pages, 12 figures