An example of stable excited state on nonlinear schrödinger equation with nonlocal nonlinearity

Masaya Maeda, Satoshi Masaki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this article, we consider the nonlinear Schrödinger equation with nonlocal nonlinearity, which is a generalized model of the Schrö dinger{Poisson system (Schrodinger{Newton equations) in low dimensions. We prove global well-posedness in a wider space than in previous results and show the stability of standing waves including excited states. It turns out that an example of stable excited states with high Morse index is contained. Several examples of traveling-wave-type solutions are also given.

Original languageEnglish
Pages (from-to)731-756
Number of pages26
JournalDifferential and Integral Equations
Volume26
Issue number7-8
Publication statusPublished - 2013 Jul 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'An example of stable excited state on nonlinear schrödinger equation with nonlocal nonlinearity'. Together they form a unique fingerprint.

Cite this