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

10 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

Cite this

Oliveira, F. S. D. (2010). Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity. Comptes Rendus Mathematique, 348(19-20), 1079-1082. https://doi.org/10.1016/j.crma.2010.09.018

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KW - concentration-compactness

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Access to Document

10.1016/j.crma.2010.09.018