淡江大學機構典藏:Item 987654321/51866
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/51866


    Title: Lie symmetry analysis of some partial differential equations
    Other Titles: Lie-對稱分析對於一些微分方程的應用
    Authors: 張柏成;Chang, Po-cheng
    Contributors: 淡江大學數學學系碩士班
    楊定揮
    Keywords: Lie 對稱分析;Lie group之轉換;Lie symmetry analysis;Lie group of transformations
    Date: 2010
    Issue Date: 2010-09-23 16:13:34 (UTC+8)
    Abstract: 此篇論文的主要工作是介紹當我們給定一個微分方程時，我們將利用 Lie symmetry 這套工具來簡化所給之微分方程。而我們將以三個重要的例子來說明如何找到合適的 Lie symmetry。
    In this work a general systematic method based on the point symmetry theory of Lie group to find an invariant transformation of a given differential equation will be introduced. A proper transformation can reduce the order, simplify the complexity, or even find the exactly solution of differential equations. Hence to find a good transformation is crucial. Three typical important examples will be illustrated how to find a suitable transformation.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Thesis

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