Abstract

© 2019 Stud. Univ. Babeş-Bolyai Math.In this work we present a finite difference scheme used to solve a High order Nonlinear Schrödinger Equation. These equations can model the propagation of solitons travelling in fiber optics ([3], [11]). The scheme is designed to preserve the numerical energy at L2 level, and control the energy at H1 level for a suitable choose on the equation's parameters. We show numerical results displaying conservation properties of the schemes using solitons as initial conditions.