A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation

A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation

碩士 === 國立交通大學 === 應用數學研究所 === 82 === We consider the perturbed nonlinear schrodinger equation and its N-mode truncation nonlinear ODE system. In this paper, we mainly develop the continuation and local bifurcation code to investigate the bi...

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Main Authors: Chi-Liarng Chern, 陳啟良
Other Authors: Jong-Eao Lee
Format: Others
Language:en_US
Published: 1994
Online Access:http://ndltd.ncl.edu.tw/handle/18678267799679397530
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spelling ndltd-TW-082NCTU05070152016-07-18T04:09:41Z http://ndltd.ncl.edu.tw/handle/18678267799679397530 A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation 擾動非線性薛丁格方程的計算分析 Chi-Liarng Chern 陳啟良 碩士 國立交通大學 應用數學研究所 82 We consider the perturbed nonlinear schrodinger equation and its N-mode truncation nonlinear ODE system. In this paper, we mainly develop the continuation and local bifurcation code to investigate the bifurcation and stability behaviors of the short time solutions of the nonlinear ODE system. From which, we are able to predict some of the corresponding NLS PDE dynamics. The code is developed in Mathematica, and is easily modified to perform in other nonlinear ODE system. Jong-Eao Lee 李榮耀 1994 學位論文 ; thesis 43 en_US
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language en_US
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description 碩士 === 國立交通大學 === 應用數學研究所 === 82 === We consider the perturbed nonlinear schrodinger equation and its N-mode truncation nonlinear ODE system. In this paper, we mainly develop the continuation and local bifurcation code to investigate the bifurcation and stability behaviors of the short time solutions of the nonlinear ODE system. From which, we are able to predict some of the corresponding NLS PDE dynamics. The code is developed in Mathematica, and is easily modified to perform in other nonlinear ODE system.
author2 Jong-Eao Lee
author_facet Jong-Eao Lee
Chi-Liarng Chern
陳啟良
author Chi-Liarng Chern
陳啟良
spellingShingle Chi-Liarng Chern
陳啟良
A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
author_sort Chi-Liarng Chern
title A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
title_short A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
title_full A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
title_fullStr A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
title_full_unstemmed A Computational Analysis of the Perturbed Nonlinear Schrodinger Equation
title_sort computational analysis of the perturbed nonlinear schrodinger equation
publishDate 1994
url http://ndltd.ncl.edu.tw/handle/18678267799679397530
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