Scattering of solutions to the fourth-order nonlinear Schrödinger equation

Nakao Hayashi, Jesus A. Mendez-Navarro, Pavel I. Naumkin

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation i{iσtu + 1/4σ4xu=|u|p-1u,t>0,xεR,u(0,x)=u0(x),xεR, where ε C, > 4. We introduce the factorization for the free evolution group to prove the large time asymptotics of solutions.

Original languageEnglish
Article number1550035
JournalCommunications in Contemporary Mathematics
Volume18
Issue number3
DOIs
Publication statusPublished - 2016 Jun 1

Keywords

  • Fourth-order nonlinear Schrödinger equation
  • Large time asymptotics

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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