Stabilization of high-order solutions of the cubic Nonlinear Schrodinger Equation
Pattern Formation and Solitons
2009-11-13 v1
Abstract
In this paper we consider the stabilization of non-fundamental unstable stationary solutions of the cubic nonlinear Schrodinger equation. Specifically we study the stabilization of radially symmetric solutions with nodes and asymmetric complex stationary solutions. For the first ones we find partial stabilization similar to that recently found for vortex solutions while for the later ones stabilization does not seem possible.
Keywords
Cite
@article{arxiv.nlin/0701009,
title = {Stabilization of high-order solutions of the cubic Nonlinear Schrodinger Equation},
author = {Adrian Alexandrescu and Gaspar D. Montesinos and Victor M. Perez-Garcia},
journal= {arXiv preprint arXiv:nlin/0701009},
year = {2009}
}