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




Toikka LA, Hietarinta J, Suominen KA

PublisherIOP PUBLISHING LTD

2012

Journal of Physics A: Mathematical and Theoretical

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

J PHYS A-MATH THEOR

485203

48

45

48

13

1751-8113

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

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.


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