no. 3
Partial differential equations
Global bifurcation of vortex and dipole solutions in Bose–Einstein condensates
[Bifurcation globale des solutions de type « vortex » et « dipôle » dans les condensats de Bose–Einstein]

Présenté par : the Editorial Board

Contreras, Andres1 ; García-Azpeitia, Carlos2
1 Science Hall 224, New Mexico State University, Department of Mathematical Sciences, USA
2 Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México DF, Mexico
Comptes Rendus. Mathématique, Tome 354 (2016) no. 3, pp. 265-269.

Dans cette note, nous prouvons l'existence de solutions périodiques symétriques de l'équation

iut+Δu−(x2+y2)u−|u|2u=0.
Comme corollaire, nous obtenons des solutions de type « dipôle ».

We prove the existence of symmetric periodic solutions to

iut+Δu−(x2+y2)u−|u|2u=0.
As a corollary we obtain the existence of dipole solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.11.011
Contreras, Andres 1 ; García-Azpeitia, Carlos 2

1 Science Hall 224, New Mexico State University, Department of Mathematical Sciences, USA
2 Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México DF, Mexico 
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Contreras, Andres; García-Azpeitia, Carlos. Global bifurcation of vortex and dipole solutions in Bose–Einstein condensates. Comptes Rendus. Mathématique, Tome 354 (2016) no. 3, pp. 265-269. doi : 10.1016/j.crma.2015.11.011. http://www.numdam.org/articles/10.1016/j.crma.2015.11.011/

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