Oscillating solitons of the driven, damped nonlinear SchrÖdinger equation

被引:0
作者
E. V. Zemlyanaya
N. V. Alexeeva
机构
[1] Joint Institute for Nuclear Research,Department of Mathematics and Applied Mathematics
[2] University of Cape Town,undefined
来源
Theoretical and Mathematical Physics | 2009年 / 159卷
关键词
nonlinear Schrödinger equation; parametric driving; stability; Floquet multiplier; bifurcation of doubled period;
D O I
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中图分类号
学科分类号
摘要
We obtain time-periodic solitons of the parametrically driven, damped nonlinear Schrödinger equation as solutions of the boundary value problem on a two-dimensional domain. We classify the stability and bifurcations of singly and doubly periodic solutions.
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页码:870 / 876
页数:6
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