Two- and three-dimensional oscillons in nonlinear Faraday resonance

被引：55

作者：

Barashenkov, IV ^{[1
]}

Alexeeva, NV ^{[1
]}

Zemlyanaya, EV ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.89.104101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study 2D and 3D localized oscillating patterns in a simple model system exhibiting nonlinear Faraday resonance. The corresponding amplitude equation is shown to have exact soliton solutions which are found to be always unstable in 3D. On the contrary, the 2D solitons are shown to be stable in a certain parameter range; hence the damping and parametric driving are capable of suppressing the nonlinear blowup and dispersive decay of solitons in two dimensions. The negative feedback loop occurs via the enslaving of the soliton's phase, coupled to the driver, to its amplitude and width.

引用

页数：4

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