Schock waves and compactons for fifth-order nonlinear dispersion equations. II
Analysis of PDEs
2009-11-24 v1
Abstract
It is shown that fifth-order nonlinear dispersion equations from compacton theory admit shock and rarefaction waves. A self-similar gradient blow-up is shown to admit infinitely many similarity extensions beyond blow-up time, meaning principal nonuniqueness of solutions of the Cauchy problem after occurring such singularities.
Cite
@article{arxiv.0911.4446,
title = {Schock waves and compactons for fifth-order nonlinear dispersion equations. II},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0911.4446},
year = {2009}
}
Comments
48 pages, 23 figures