Multi-Peak Solutions for Coupled Nonlinear Schrodinger Systems in Low Dimensions

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dc.contributor.authorZheng, Maodingcs
dc.contributor.authorZhang, Binlincs
dc.contributor.authorRadulescu, Vicentiucs
dc.coverage.issue1cs
dc.coverage.volume88cs
dc.date.issued2023-06-13cs
dc.description.abstractIn this paper, we construct the solutions to the nonlinear Schrodinger system. We construct the solution for attractive and repulsive cases. When $x_0$ is a local maximum point of the potentials P and Q and $P(x_0) = Q(x_0)$, we construct k spikes concentrating near the local maximum point $x_0$. When x_0$ is a local maximum point of P and $x^{\ bar}_ 0$ is a local maximum point of Q, we construct k spikes of $ u $ concentrating at the local maximum point $ x_0$ and m spikes of v concentrating at the local maximum point $x^{\ bar}_ 0$ when $x_0 \ not = $x^{\ bar}_ 0$ This paper extends the main results established by Peng and Wang (Arch Ration Mech Anal 208:305-339, 2013) and Peng and Pi (Discrete Contin Dyn Syst 36:2205-2227, 2016), where the authors considered the case N = 3, p = 3.en
dc.formattextcs
dc.format.extent1-56cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAPPLIED MATHEMATICS AND OPTIMIZATION. 2023, vol. 88, issue 1, p. 1-56.en
dc.identifier.doi10.1007/s00245-023-09974-4cs
dc.identifier.issn0095-4616cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other183934cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttp://hdl.handle.net/11012/213634
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofAPPLIED MATHEMATICS AND OPTIMIZATIONcs
dc.relation.urihttps://link.springer.com/article/10.1007/s00245-023-09974-4cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0095-4616/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectNonlinear Schrodinger systemen
dc.subjectLyapunov-Schmidt reductionen
dc.subjectSingularityen
dc.subjectPerturbationen
dc.titleMulti-Peak Solutions for Coupled Nonlinear Schrodinger Systems in Low Dimensionsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-183934en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:40:50en
sync.item.modts2025.01.17 16:40:31en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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