40 citations · 146 across the 16 of their papers we have counts for
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cond-mat.quant-gas2012★ 40 cited
The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates
Lauri Toikka, Kalle-Antti Suominen
We show that the onset of the snake instability of ring dark solitons requires a broken symmetry. We also elucidate explicitly the connection between imaginary Bogoliubov modes and…
cond-mat.quant-gas2012★ 13 cited
Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation
Lauri Toikka, Jarmo Hietarinta, Kalle-Antti Suominen
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…