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SUMMARY:Dark-bright solitons to one-dimensional Gross-Pitaevskii systems
DTSTART:20250603T091500Z
DTEND:20250603T101500Z
DTSTAMP:20260719T181800Z
UID:indico-event-12287@indico.math.cnrs.fr
DESCRIPTION:Speakers: Salvador López Martinez\n\nSolitons are localized s
 tructures that propagate at constant speed without changing shape. These s
 tructures typically arise in physical systems governed by coupled Gross-Pi
 taevskii equations\, such as mixtures of Bose-Einstein condensates (BECs) 
 and multimode nonlinear optics. Solitons are classified as dark or bright\
 , depending on whether the density is a positive constant or zero at infin
 ity\, and emerge under repulsive (defocusing) or attractive (focusing) int
 eractions\, respectively. Experimental and numerical studies confirm the e
 xistence of stable dark-bright solitons\, even when self-defocusing intera
 ctions are present in the bright component. In this talk\, we will present
  recent analytical results that rigorously validate this phenomenon. Speci
 fically\, we will show that symmetric and radially monotone (in modulus) d
 ark-bright solitons can be derived as energy minimizers subject to a momen
 tum-mass constraint.\n\nhttps://indico.math.cnrs.fr/event/12287/
LOCATION:Salle J. Cavailles (IMT)
URL:https://indico.math.cnrs.fr/event/12287/
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