Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
Analysis of PDEs
2013-10-22 v1 Numerical Analysis
Abstract
We present a numerical study of solutions to the generalized Kadomtsev-Petviashvili equations with critical and supercritical nonlinearity for localized initial data with a single minimum and single maximum. In the cases with blow-up, we use a dynamic rescaling to identify the type of the singularity. We present a discussion of the observed blow-up scenarios.
Keywords
Cite
@article{arxiv.1310.5215,
title = {Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations},
author = {C. Klein and R. Peter},
journal= {arXiv preprint arXiv:1310.5215},
year = {2013}
}
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24 pages