Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping

Cavalcanti Marcelo M.; Correa Wellington J.; Sepulveda C Mauricio A.Vejar Asem Rodrigo

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Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping

机译：Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping

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摘要

In this work we present a finite difference scheme used to solve a High order Nonlinear Schrodinger 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 L-2 level, and control the energy at H-1 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.

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《studia universitatis babes-bolyai mathematica》 |2019年第2期|161-172|共12页
作者
Cavalcanti Marcelo M.; Correa Wellington J.; Sepulveda C Mauricio A.Vejar Asem Rodrigo;
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Univ Estadual Maringa;

Fed Technol Univ Parana;

Univ ConcepcionUniv Concepcion;

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原文格式 PDF
正文语种英语
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High order; nonlinear Schrodinger equation; localized damping; dissipation; finite difference methods; SOLITON-SOLUTIONS; MODULATION; LAW;
入库时间 2024-01-25 19:55:02

Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping

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