Fla on Asymptotic Stability of Solitary Waves for Nonlinear Schrödinger Equations Stabilité Asymptotique Des Ondes Solitaires Pour Les Équations De Schrödinger Nonlinéaires

Content Provider	Semantic Scholar
Author	Buslaev, Vladimir S. Sulem, Catherine
Copyright Year	2003
Abstract	– We study the long-time behavior of solutions of the nonlinear Schröd equation in one space dimension for initial conditions in a small neighborhood of a stable s wave. Under some hypothesis on the structure of the spectrum of the linearized opera prove that, asymptotically in time, the solution decomposes into a solitary wave with sl modified parameters and a dispersive part described by the free Schrödinger equat explicitly calculate the time behavior of the correction.  2003 Éditions scientifiques et médicales Elsevier SAS MSC:35Q55; 37K40
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Alternate Webpage(s)	http://archive.numdam.org/article/AIHPC_2003__20_3_419_0.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article