Exact soliton-like solutions of the radial Gross-Pitaevskii equation

被引：12

作者：

Toikka, L. A. ^{[1
]}

Hietarinta, J. ^{[1
]}

Suominen, K-A ^{[1
]}

机构：

[1] Univ Turku, Dept Phys & Astron, FI-20014 Turku, Finland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 48期

基金：

芬兰科学院;

关键词：

DARK SOLITONS; POTENTIALS;

D O I：

10.1088/1751-8113/45/48/485203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct exact ring soliton-like solutions of the cylindrically symmetric (i.e. radial) Gross-Pitaevskii equation with a potential, using the similarity transformation method. Depending on the choice of the allowed free functions, the solutions can take the form of stationary dark or bright rings whose time dependence is in the phase dynamics only, or oscillating and bouncing solutions, related to the second Painleve transcendent. In each case the potential can be chosen to be time independent.

引用

页数：13

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