Asymptotics for the third-order nonlinear Schrödinger equation in the critical case

Nakao Hayashi, Elena I. Kaikina

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider the Cauchy problem for the third-order nonlinear Schrödinger equation where H = F-1 iξ ǀξǀ-1 F and F is the Fourier transform. Our purpose in this paper is to prove the large time asymptoitic behavior of solutions for the defocusing case λ > 0 with a logarithmic correction under the non zero mass condition ∫u0 (x) dx ≠ 0

Original languageEnglish
Pages (from-to)1573-1597
Number of pages25
JournalMathematical Methods in the Applied Sciences
Volume40
Issue number5
DOIs
Publication statusPublished - 2017 Mar 30
Externally publishedYes

Keywords

  • large time asymptotics
  • Third-order nonlinear Schrödinger equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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