A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Exact soliton-like solutions of the radial Gross-Pitaevskii equation
Tekijät: Toikka LA, Hietarinta J, Suominen KA
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2012
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: 485203
Numero sarjassa: 48
Vuosikerta: 45
Numero: 48
Sivujen määrä: 13
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/45/48/485203
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/1343710
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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