Steady state solutions for nonlinear Schrödinger equation arising in optics

Yisong Yang, Ruifeng Zhang

Research output: Contribution to journalArticle

Abstract

In this paper, we use the method of calculus of variations to develop an existence theory for the steady state solutions of a nonlinear Schrödinger equation modeling light waves propagating in a photorefractive crystal. We show via direct minimization and mountain-pass argument that there exist steady state solutions realizing a continuous spectrum of energy points or wavenumbers.

Original languageEnglish (US)
Article number053501
JournalJournal of Mathematical Physics
Volume50
Issue number5
DOIs
StatePublished - Jun 15 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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