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Parallel Implementation of the Solution of the Nonlinear Schrodinger Equation

DOI: 10.1016/b978-044450680-1/50061-9


Publisher Summary This chapter presents a parallel implementation of the solution of the nonlinear Schrodinger equation. With the recent development of high intensity short pulse lasers, it has become possible to generate plasma channels over long distances in air through the self-focusing of these laser pulses as they propagate. The process of self-focusing and defocusing from plasma creation and other effects is very turbulent in nature. This process can be described by the nonlinear Schrodinger equation. To study this phenomenon via computation, simulations with high resolution and, therefore, a large number of grids are required. The chapter implements a three dimensional solution of the nonlinear Schrodinger equation on the massively parallel computer at Japan Atomic Energy Research Institute Kansai Research Establishment (JAERI-KRE).

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