Self-similar solutions to the derivative nonlinear Schrödinger equation

Kazumasa Fujiwara; Vladimir Georgiev; Tohru Ozawa

Self-similar solutions to the derivative nonlinear Schrödinger equation

Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

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

Abstract

A class of self-similar solutions to the derivative nonlinear Schrödinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.

MSC Codes 35Q55

Original language	English
Journal	Unknown Journal
Publication status	Published - 2018 Nov 14

Keywords

Derivative nonlinear Schrödinger equations
Self-similar solution

ASJC Scopus subject areas

General

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title = "Self-similar solutions to the derivative nonlinear Schr{\"o}dinger equation",

abstract = "A class of self-similar solutions to the derivative nonlinear Schr{\"o}dinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.MSC Codes 35Q55",

keywords = "Derivative nonlinear Schr{\"o}dinger equations, Self-similar solution",

author = "Kazumasa Fujiwara and Vladimir Georgiev and Tohru Ozawa",

year = "2018",

month = nov,

day = "14",

language = "English",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier",

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T1 - Self-similar solutions to the derivative nonlinear Schrödinger equation

AU - Fujiwara, Kazumasa

AU - Georgiev, Vladimir

AU - Ozawa, Tohru

PY - 2018/11/14

Y1 - 2018/11/14

N2 - A class of self-similar solutions to the derivative nonlinear Schrödinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.MSC Codes 35Q55

AB - A class of self-similar solutions to the derivative nonlinear Schrödinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.MSC Codes 35Q55

KW - Derivative nonlinear Schrödinger equations

KW - Self-similar solution

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M3 - Article

AN - SCOPUS:85094263798

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

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