Wave breaking in the short-pulse equation
Analysis of PDEs
2010-01-08 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Sufficient conditions for wave breaking are found for the short-pulse equation describing wave packets of few cycles on the ultra-short pulse scale. The analysis relies on the method of characteristics and conserved quantities of the short-pulse equation and holds both on an infinite line and in a periodic domain. Numerical illustrations of the finite-time wave breaking are given in a periodic domain.
Cite
@article{arxiv.0905.4668,
title = {Wave breaking in the short-pulse equation},
author = {Yue Liu and Dmitry Pelinovsky and Anton Sakovich},
journal= {arXiv preprint arXiv:0905.4668},
year = {2010}
}
Comments
21 pages, 5 figures