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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