Comptes Rendus
no. 3
Partial differential equations
Global bifurcation of vortex and dipole solutions in Bose–Einstein condensates

Presented by: the Editorial Board

Andres Contreras1; Carlos García-Azpeitia2
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, Volume 354 (2016) no. 3, pp. 265-269.

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.

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 ».

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2015.11.011

Andres Contreras 1; Carlos García-Azpeitia 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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Andres Contreras; Carlos García-Azpeitia. Global bifurcation of vortex and dipole solutions in Bose–Einstein condensates. Comptes Rendus. Mathématique, Volume 354 (2016) no. 3, pp. 265-269. doi : 10.1016/j.crma.2015.11.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.11.011/

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