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 - 2009

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Steady-state Solution
nonlinear equations
Optics
Nonlinear Equations
optics
Photorefractive Crystal
Mountain Pass
Existence Theory
calculus of variations
Continuous Spectrum
continuous spectra
Calculus of variations
mountains
optimization
Energy
Modeling
crystals
energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Steady state solutions for nonlinear Schrödinger equation arising in optics. / Yang, Yisong; Zhang, Ruifeng.

In: Journal of Mathematical Physics, Vol. 50, No. 5, 053501, 2009.

Research output: Contribution to journalArticle

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