Author(s): A.R. Mitchell and J.LI. Morris
Article publication date: 1983-09-01
Vol. 1 No. 2 (yearly), pp. 178-190.
148
Keywords
Mathematics, nonlinear, Schrodinger
Abstract
An idea of Sanz-Serna (1982) suggested for the numerical solution of the Korteweg de Vries equation is applied to the numerical solution of the nonlinear Schrodinger equation. The approximating method is an explicit scheme where the time step is chosen at each stage to exactly converse the L2 'energy' of the theoretical solution of the discretized procedure. The algorithm is applied to the case of a single solution and to the interaction of two solutions.