Two asymptotic problems for a singular nonlinear schrödinger system

Nader Masmoudi; Kenji Nakanishi

doi:10.1353/ajm.2010.0003

Two asymptotic problems for a singular nonlinear schrödinger system

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

Abstract

In this paper, we continue our investigation of the relation between various systems that can be derived from the Klein-Gordon-Zakharov system in the high-frequency and subsonic limits. In this paper we start from the singular nonlinear Schrödinger system which was derived in a previous work and derive the classical nonlinear Schrödinger system in two different limit cases. These two nonlinear Schrödinger systems have different coefficients in the nonlinearity.

Original language	English (US)
Pages (from-to)	1311-1338
Number of pages	28
Journal	American Journal of Mathematics
Volume	132
Issue number	5
DOIs	https://doi.org/10.1353/ajm.2010.0003
State	Published - Oct 2010

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1353/ajm.2010.0003

Cite this

@article{165819ba597c4bd6b8207c42ec63ec93,

title = "Two asymptotic problems for a singular nonlinear schr{\"o}dinger system",

abstract = "In this paper, we continue our investigation of the relation between various systems that can be derived from the Klein-Gordon-Zakharov system in the high-frequency and subsonic limits. In this paper we start from the singular nonlinear Schr{\"o}dinger system which was derived in a previous work and derive the classical nonlinear Schr{\"o}dinger system in two different limit cases. These two nonlinear Schr{\"o}dinger systems have different coefficients in the nonlinearity.",

author = "Nader Masmoudi and Kenji Nakanishi",

year = "2010",

month = oct,

doi = "10.1353/ajm.2010.0003",

language = "English (US)",

volume = "132",

pages = "1311--1338",

journal = "American Journal of Mathematics",

issn = "0002-9327",

publisher = "Johns Hopkins University Press",

number = "5",

}

TY - JOUR

T1 - Two asymptotic problems for a singular nonlinear schrödinger system

AU - Masmoudi, Nader

AU - Nakanishi, Kenji

PY - 2010/10

Y1 - 2010/10

N2 - In this paper, we continue our investigation of the relation between various systems that can be derived from the Klein-Gordon-Zakharov system in the high-frequency and subsonic limits. In this paper we start from the singular nonlinear Schrödinger system which was derived in a previous work and derive the classical nonlinear Schrödinger system in two different limit cases. These two nonlinear Schrödinger systems have different coefficients in the nonlinearity.

AB - In this paper, we continue our investigation of the relation between various systems that can be derived from the Klein-Gordon-Zakharov system in the high-frequency and subsonic limits. In this paper we start from the singular nonlinear Schrödinger system which was derived in a previous work and derive the classical nonlinear Schrödinger system in two different limit cases. These two nonlinear Schrödinger systems have different coefficients in the nonlinearity.

UR - http://www.scopus.com/inward/record.url?scp=77958560725&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77958560725&partnerID=8YFLogxK

U2 - 10.1353/ajm.2010.0003

DO - 10.1353/ajm.2010.0003

M3 - Article

AN - SCOPUS:77958560725

SN - 0002-9327

VL - 132

SP - 1311

EP - 1338

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 5

ER -

Two asymptotic problems for a singular nonlinear schrödinger system

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this