Numerical study of self-focusing solutions to the Schrödinger-Debye system
Blow-up of 2D Schrödinger-Debye equations (relaxation scheme)
Abstract
In this article we implement different numerical schemes to simulate the Schrödinger-Debye equations that occur in nonlinear optics. Since the existence of blow-up solutions is an open problem, we try to compute such solutions. The convergence of the methods is proved and simulations seem indeed to show that for at least small delays self-focusing solutions may exist.
Type
Publication
ESAIM, Mathematical Modelling and Numerical Analysis, 35(1), 35–55 (2001)