Parallel Split-Step Fourier Methods for the Nonlinear Schroedinger Equation

摘要

The nonlinear Schrodinger equation is of tremendous interest in both theory and applications. Various regimes of pulse propagation in optical fibers are modeled by some form of the nonlinear Schrodinger equation. In this paper we introduce parallel split-step Fourier methods for numerical simulations of the above equation. These methods are implemented on the Origin 2000 multiprocessor computer. Our numerical experiments have shown that these methods give accurate results and considerable speedup.