Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion

Markus Kunze, Jamison Moeser, Vadim Zharnitsky

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of existence of ground states in higher-order dispersion managed NLS equation is considered. The ground states are stationary solutions to dispersive equations with nonlocal nonlinearity which arise as averaging approximations in the context of strong dispersion management in optical communications. The main result of this note states that the averaged equation possesses ground state solutions in the practically and conceptually important case of the vanishing residual dispersions.

Original languageEnglish (US)
Pages (from-to)77-100
Number of pages24
JournalJournal of Differential Equations
Volume209
Issue number1
DOIs
StatePublished - Feb 1 2005

Keywords

  • Dispersion management
  • Ground states
  • Nonlinear Schrödinger equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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