Stabilization of solitons of the multidimensional nonlinear Schrodinger equation:: matter-wave breathers

被引：127

作者：

Montesinos, GD ^{[1
]}

Pérez-García, VM

Torres, PJ

机构：

[1] Univ Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain

[2] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2004年 / 191卷 / 3-4期

关键词：

nonlinear Schrodinger equations; blow-up; matter waves; solitary waves;

D O I：

10.1016/j.physd.2003.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate that stabilization of solitons of the multidimensional Schrodinger equation with, a cubic nonlinearity. may be achieved by a suitable periodic control of the nonlinear term. The effect of this control is to stabilize the unstable solitary waves into a breather-type solution. Using an asymptotic method we obtain precise conditions on the parameters which allow to achieve the stabilization and compare our results with accurate numerical simulations of the nonlinear Schrodinger equation. (C) 2003 Elsevier B.V. All rights reserved.

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收藏

页码：193 / 210

页数：18

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