Self-similar solutions to the derivative nonlinear Schrödinger equation

Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

Research output: Contribution to journalArticlepeer-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 languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Nov 14

Keywords

  • Derivative nonlinear Schrödinger equations
  • Self-similar solution

ASJC Scopus subject areas

  • General

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