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

页码：7 / 14

页数：8

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