Nonexistence of asymptotically free solutions to nonlinear schrödinger systems

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We consider the nonlinear Schrödinger systems in n space dimensions, where F is a p-th order local or nonlocal nonlinearity smooth up to order p, with These systems are related to higher order nonlinear dispersive wave equations. We prove the non existence of asymptotically free solutions in the critical and sub-critical cases.

Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2012
Publication statusPublished - 2012 Sep 21
Externally publishedYes

Keywords

  • Asymptotically free solutions
  • Dispersive nonlinear waves

ASJC Scopus subject areas

  • Analysis

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