非線性薛丁格方程數值分析專題

Abstract

本論文研製之目的可分成兩個主題： １. 展示非線性薛丁格方程的聚焦單相（雙相）擬週期解及散焦單相（雙相）擬週期解的數值圖形。 ２. 展示非線性薛丁格方程和衍生薛丁格方程的孤立子及其碰撞的數值圖形。

Two topics are discussed. First, the numerical graphs of the quasi@periodic solutions of the focusing and defocussing nonlinear Schrodinger equations are presented. Secondly, the numerical graphs of the solitons and their interactions of the nonlinear Schrodinger and derivative nonlinear Schrodinger equations are presented.