Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schrodinger-Korteweg-de Vries system, which decays exponentially at infinity (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved
Original languageUnknown
Pages (from-to)1079-1082
JournalComptes Rendus Mathematique
Volume348
Issue number19-20
DOIs
Publication statusPublished - 1 Jan 2010

Cite this

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title = "Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity",
abstract = "We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schrodinger-Korteweg-de Vries system, which decays exponentially at infinity (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved",
keywords = "equations, principle, calculus, concentration-compactness, stability",
author = "Oliveira, {Filipe Serra de}",
year = "2010",
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day = "1",
doi = "10.1016/j.crma.2010.09.018",
language = "Unknown",
volume = "348",
pages = "1079--1082",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier Science B.V., Amsterdam.",
number = "19-20",

}

Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity. / Oliveira, Filipe Serra de.

In: Comptes Rendus Mathematique, Vol. 348, No. 19-20, 01.01.2010, p. 1079-1082.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity

AU - Oliveira, Filipe Serra de

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schrodinger-Korteweg-de Vries system, which decays exponentially at infinity (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved

AB - We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schrodinger-Korteweg-de Vries system, which decays exponentially at infinity (C) 2010 Academie des sciences Published by Elsevier Masson SAS All rights reserved

KW - equations

KW - principle

KW - calculus

KW - concentration-compactness

KW - stability

U2 - 10.1016/j.crma.2010.09.018

DO - 10.1016/j.crma.2010.09.018

M3 - Article

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SP - 1079

EP - 1082

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

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