Transverse nonlinear instability for two-dimensional dispersive models
Analysis of PDEs
2007-05-23 v3
Abstract
We present a method to prove nonlinear instability of solitary waves in dispersive models. Two examples are analyzed: we prove the nonlinear long time instability of the KdV solitary wave (with respect to periodic transverse perturbations) under a KP-I flow and the transverse nonlinear instability of solitary waves for the cubic nonlinear Schr\"odinger equation.
Keywords
Cite
@article{arxiv.math/0612494,
title = {Transverse nonlinear instability for two-dimensional dispersive models},
author = {F. Rousset and N. Tzvetkov},
journal= {arXiv preprint arXiv:math/0612494},
year = {2007}
}
Comments
26 pages, minor changes