Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations

Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations

碩士 === 國立嘉義大學 === 應用數學系研究所 === 95 === In this thesis, we use Lie symmetry analysis and the method of generating integrals of motion to find the general solutions or the first integrals of the third order Emden-Fowler equations. We also reduce some of the equations to lower order ODEs, through the me...

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Main Authors: Po-Kai Yeh, 葉柏開
Other Authors: Po-Jen Cheng
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/79023777230158728006
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spelling ndltd-TW-095NCYU55070032015-12-07T04:03:41Z http://ndltd.ncl.edu.tw/handle/79023777230158728006 Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations 應用李對稱分析與首次積分產生的方法去解三階Emden-Fowler方程 Po-Kai Yeh 葉柏開 碩士 國立嘉義大學 應用數學系研究所 95 In this thesis, we use Lie symmetry analysis and the method of generating integrals of motion to find the general solutions or the first integrals of the third order Emden-Fowler equations. We also reduce some of the equations to lower order ODEs, through the method of canonical coordinates and the method of differential invariants. Po-Jen Cheng 鄭博仁 2007 學位論文 ; thesis 47 en_US
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language en_US
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sources NDLTD
description 碩士 === 國立嘉義大學 === 應用數學系研究所 === 95 === In this thesis, we use Lie symmetry analysis and the method of generating integrals of motion to find the general solutions or the first integrals of the third order Emden-Fowler equations. We also reduce some of the equations to lower order ODEs, through the method of canonical coordinates and the method of differential invariants.
author2 Po-Jen Cheng
author_facet Po-Jen Cheng
Po-Kai Yeh
葉柏開
author Po-Kai Yeh
葉柏開
spellingShingle Po-Kai Yeh
葉柏開
Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
author_sort Po-Kai Yeh
title Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
title_short Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
title_full Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
title_fullStr Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
title_full_unstemmed Application of Lie Symmetry Analysis and Method of Generating Integrals of Motion to Third Order Emden-Fowler Equations
title_sort application of lie symmetry analysis and method of generating integrals of motion to third order emden-fowler equations
publishDate 2007
url http://ndltd.ncl.edu.tw/handle/79023777230158728006
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