KdV方程式的Darboux 變換

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DC Field	Value	Language
dc.contributor.author	阮俊穎	en_US
dc.contributor.author	邵錦昌	en_US
dc.date.accessioned	2014-12-12T02:56:26Z	-
dc.date.available	2014-12-12T02:56:26Z	-
dc.date.issued	2005	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT009322530	en_US
dc.identifier.uri	http://hdl.handle.net/11536/79016	-
dc.description.abstract	這篇論文我們首先探討比較基本的KdV方程式的Darboux 變換。接下來討論在AKNS系統上的Darboux 變換, 而這AKNS系統的好處在於降低計算的複雜度使我們計算KdV方程式較為便利。最後我們將給一個例子使用AKNS系統上的Darboux 變換計算出一些KdV方程式的孤立子的解。我們也寫下當Schördinger equation的potential energy 為孤立子解的eigenvalue 和 eigenfunction 的表示式。	zh_TW
dc.description.abstract	In this thesis, we describe the classical form of Darboux transformation of KdV equation first. Next we discuss the Darboux transformation for AKNS system which is convenient for us when we calculate KdV equation. It can reduce the complexity successively. Finally, we give an example to figure out one and two soliton solutions of KdV equation by using Darboux transformation for AKNS system. We can also derive the eigenfunction and eigenvalue of Schr¨odinger equation.	en_US
dc.language.iso	en_US	en_US
dc.subject	孤立子	zh_TW
dc.subject	AKNS 系統	zh_TW
dc.subject	KdV	zh_TW
dc.subject	soliton	en_US
dc.subject	AKNS system	en_US
dc.subject	KdV	en_US
dc.title	KdV方程式的Darboux 變換	zh_TW
dc.title	Darboux transformation of the KdV equation	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
Appears in Collections:	Thesis

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