A1 Refereed original research article in a scientific journal

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



Authors: Toikka LA, Hietarinta J, Suominen KA

Publisher: IOP PUBLISHING LTD

Publication year: 2012

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Article number: 485203

Number in series: 48

Volume: 45

Issue: 48

Number of pages: 13

ISSN: 1751-8113

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

Self-archived copy’s web address: https://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.



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