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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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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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.
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Po-Jen Cheng |
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Po-Jen Cheng Po-Kai Yeh 葉柏開 |
author |
Po-Kai Yeh 葉柏開 |
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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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