Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

Nakao Hayashi; Chunhua Li; Pavel I. Naumkin

doi:10.1080/03605302.2012.668256

Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

SCI - Mathematics

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

26 Citations (Scopus)

Abstract

We consider a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators or wave operators under some mass conditions.

Original language	English
Pages (from-to)	947-968
Number of pages	22
Journal	Communications in Partial Differential Equations
Volume	37
Issue number	6
DOIs	https://doi.org/10.1080/03605302.2012.668256
Publication status	Published - 2012 Jun

Keywords

A system of nonlinear Schrödinger equations
Modified wave operator

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10.1080/03605302.2012.668256

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title = "Modified Wave Operator for a System of Nonlinear Schr{\"o}dinger Equations in 2d",

abstract = "We consider a system of nonlinear Schr{\"o}dinger equations with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators or wave operators under some mass conditions.",

keywords = "A system of nonlinear Schr{\"o}dinger equations, Modified wave operator",

author = "Nakao Hayashi and Chunhua Li and Naumkin, {Pavel I.}",

note = "Funding Information: The work of P.I.N. is partially supported by PAPIIT and CONACYT and the work of N.H. is partially supported by KAKENHI (No. 19340030).",

year = "2012",

month = jun,

doi = "10.1080/03605302.2012.668256",

language = "English",

volume = "37",

pages = "947--968",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

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T1 - Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

AU - Hayashi, Nakao

AU - Li, Chunhua

AU - Naumkin, Pavel I.

N1 - Funding Information: The work of P.I.N. is partially supported by PAPIIT and CONACYT and the work of N.H. is partially supported by KAKENHI (No. 19340030).

PY - 2012/6

Y1 - 2012/6

N2 - We consider a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators or wave operators under some mass conditions.

AB - We consider a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators or wave operators under some mass conditions.

KW - A system of nonlinear Schrödinger equations

KW - Modified wave operator

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U2 - 10.1080/03605302.2012.668256

DO - 10.1080/03605302.2012.668256

M3 - Article

AN - SCOPUS:84861568003

SN - 0360-5302

VL - 37

SP - 947

EP - 968

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 6

ER -

Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

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Keywords

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