Boletín SEMA, No 43 (2008)

Tamaño de la letra:  Pequeña  Mediana  Grande

NUMERICAL METHODS FOR A COUPLED NONLINEAR SCHRÖDINGER SYSTEM

M. Sepúlveda, O. Vera

Resumen


M. SEPÚLVEDA AND O. VERA†
Departamento de Ingeniería Matemática, Universidad de Concepción, Chile. †Departamento de Matemática, Universidad del Bío-Bío, Chile.

We study a numerical method based on a Crank-Nicolson scheme for a coupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerrlike photo refractive media in optics and Bose-Einstein condensates. This numerical scheme preserves the densities and the energy of the solution, and it is proved the convergence of its sequence of solutions.

Key words: Schrödinger equations, asymptotically free solution, Crank- Nicolson scheme.

AMS subject classifications: 35Q55, 35B40, 65N06


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