Self-similar solutions to the derivative nonlinear Schrödinger equation

Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)7940-7961
ページ数22
ジャーナルJournal of Differential Equations
268
12
DOI
出版ステータスPublished - 2020 6 5

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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