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20 April 2024

» arxiv » nlin/0701009

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Stabilization of high-order solutions of the cubic Nonlinear Schrodinger Equation
Adrian Alexandrescu ; Gaspar D. Montesinos ; Victor M. Perez-Garcia ;
Date:	4 Jan 2007
Subject:	Pattern Formation and Solitons
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.
Source:	arXiv, nlin/0701009
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