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SUMMARY:Davide Proment (University of East Anglia)
DTSTART:20251209T130000Z
DTEND:20251209T140000Z
DTSTAMP:20260423T022803Z
UID:UEA_mth/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEA_mth/23/"
 >Roberts-Jones solitary waves on the two-dimensional sphere</a>\nby Davide
  Proment (University of East Anglia) as part of Fluids and Structures Semi
 nar @ UEA\n\nLecture held in SCI 0.31.\n\nAbstract\nRoberts-Jones solitary
  waves\, also known as Roberts-Jones solitons\, are fully nonlinear\, loca
 lised traveling wave solutions of the Gross-Pitaevskii equation in two and
  three spatial dimensions [1]. At low speeds\, these waves manifest as vor
 tex dipoles in two dimensions and vortex rings in three dimensions\, creat
 ing topological excitations in the field’s phase. As the wave speed appr
 oaches a critical value\, the vortex structure vanishes\, leaving behind a
  simple dip in the field’s amplitude.\n \nIn this work\, we explore the 
 existence and stability of Roberts-Jones solitary waves in curved spatial 
 geometries\, specifically on the two-dimensional sphere. We compare these 
 solitonic structures with delocalised Bogoliubov excitations\, shedding li
 ght on their role in novel experimental realisations of ultracold atomic g
 ases confined within spherical shells. Our findings offer new insights int
 o the interplay between geometry and nonlinear wave dynamics in quantum fl
 uids.\n
LOCATION:https://researchseminars.org/talk/UEA_mth/23/
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