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

Filipe Serra de Oliveira

doi:10.1016/j.crma.2010.09.018

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

Filipe Serra de Oliveira

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

18 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 language	Unknown
Pages (from-to)	1079-1082
Journal	Comptes Rendus Mathematique
Volume	348
Issue number	19-20
DOIs	https://doi.org/10.1016/j.crma.2010.09.018
Publication status	Published - 1 Jan 2010

Access to Document

10.1016/j.crma.2010.09.018

Cite this

@article{1a6fe654b0644d78bdabd3b8fc022102,

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",

month = jan,

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",

}

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

SN - 1631-073X

VL - 348

SP - 1079

EP - 1082

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 19-20

ER -