A1 Refereed original research article in a scientific journal

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




AuthorsToikka LA, Hietarinta J, Suominen KA

PublisherIOP PUBLISHING LTD

Publication year2012

JournalJournal of Physics A: Mathematical and Theoretical

Journal name in sourceJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronymJ PHYS A-MATH THEOR

Article number485203

Number in series48

Volume45

Issue48

Number of pages13

ISSN1751-8113

DOIhttps://doi.org/10.1088/1751-8113/45/48/485203

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/1343710


Abstract

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.



Research Areas


Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.





Last updated on 2024-26-11 at 19:11