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 language||English (US)|
|Journal||Journal of Mathematical Physics|
|State||Published - 2009|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics