Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | COLIN, Mathieu | |
| hal.structure.identifier | Department of Mathematics, Faculty of Science, Saitama University | |
| dc.contributor.author | OHTA, Masahito | |
| dc.date.issued | 2012-03-14 | |
| dc.identifier.issn | 0036-1410 | |
| dc.description.abstractEn | We consider a system of nonlinear Schr¨odinger equations relatedto the Raman amplification in a plasma. We study the orbital stabilityand instability of standing waves bifurcating from the semi-trivialstanding wave of the system. The stability and instability of the semitrivialstanding wave at the bifurcation point are also studied. Moreover,we determine the set of the ground states completely. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.title.en | Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | SIAM Journal on Mathematical Analysis | |
| bordeaux.page | 206-223 | |
| bordeaux.volume | 44 | |
| bordeaux.issue | 1 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00656237 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00656237v1 | |
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