Elliptic dark solitons

被引：8
|
作者：
Papacharalampous, IE [1 ]
Kevrekidis, PG
Nistazakis, HE
Frantzeskakis, DJ
Malomed, BA
机构：
[1] Univ Athens, Dept Phys, Athens 15784, Greece
[2] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
[3] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, Tel Aviv, Israel
来源：
PHYSICA SCRIPTA | 2004年 / 69卷 / 01期
关键词：
Anisotropy - Approximation theory - Computer simulation - Continuous wave lasers - Electromagnetic field effects - Electromagnetic wave propagation - Laplace transforms - Nonlinear equations - Nonlinear optics - Numerical methods - Optical Kerr effect - Parameter estimation - Perturbation techniques - Refractive index - Velocity measurement;
D O I：
10.1238/Physica.Regular.069a00007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study ellipse-shaped solitons on top of a stable continuous-wave background in the framework of a two-dimensional nonlinear Schrodinger equation with Kerr and saturable nonlinearities. We show that both dark and anti-dark elliptic solitons may exist, and examine their dynamics in detail, for different values of the initial eccentricity, amplitude and radius. Strictly speaking, all the elliptic solitons are unstable; however, in many cases they persist for a long time, and may be observed experimentally in nonlinear optics and Bose-Einstein condensates.
引用
收藏
页码：7 / 14
页数：8
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