Show simple item record

dc.contributor.authorHadj Selem, Fouad
dc.contributor.authorHajaiej, Hichem
dc.contributor.authorMarkowich, Peter A.
dc.contributor.authorTrabelsi, Saber
dc.date.accessioned2015-08-03T12:07:32Z
dc.date.available2015-08-03T12:07:32Z
dc.date.issued2014-08-26
dc.identifier.issn14249286
dc.identifier.doi10.1007/s00032-014-0227-5
dc.identifier.urihttp://hdl.handle.net/10754/563715
dc.description.abstractThis paper is concerned with the mathematical analysis of a masssubcritical nonlinear Schrödinger equation arising from fiber optic applications. We show the existence and symmetry of minimizers of the associated constrained variational problem. We also prove the orbital stability of such solutions referred to as standing waves and characterize the associated orbit. In the last section, we illustrate our results with few numerical simulations. © 2014 Springer Basel.
dc.description.sponsorshipH. Hajaiej would like to thank NPST for its support through the research project number MA1716. The research of P. A. Markowich and S. Trabelsi reported in this publication was supported by the King Abdullah University of Science and Technology.
dc.publisherSpringer Nature
dc.titleVariational Approach to the Orbital Stability of Standing Waves of the Gross-Pitaevskii Equation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalMilan Journal of Mathematics
dc.contributor.institutionFrench Atomic Energy Commission, NeurospinSaclay, France
dc.contributor.institutionDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455Riyadh, Saudi Arabia
kaust.personMarkowich, Peter A.
kaust.personTrabelsi, Saber
dc.date.published-online2014-08-26
dc.date.published-print2014-12


This item appears in the following Collection(s)

Show simple item record