Dispersive Blow-up for Solutions of the Zakharov-Kuznetsov equation
Analysis of PDEs
2019-11-26 v1
Abstract
The main purpose here is the study of dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Dispersive blow-up refers to point singularities due to the focusing of short or long waves. We will construct initial data such that solutions of the linear problem present this kind of singularities. Then we show that the corresponding solutions of the nonlinear problem present dispersive blow-up inherited from the linear component part of the equation. Similar results are obtained for the generalized Zakharov-Kuznetsov equation.
Keywords
Cite
@article{arxiv.1911.10834,
title = {Dispersive Blow-up for Solutions of the Zakharov-Kuznetsov equation},
author = {Felipe Linares and Ademir Pastor and Jorge Drumond Silva},
journal= {arXiv preprint arXiv:1911.10834},
year = {2019}
}