非線性薛丁格方程的基本理論及特殊解

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.author	鄧貴真	zh_TW
dc.contributor.author	李榮耀	zh_TW
dc.contributor.author	Deng,Guey-Jen	en_US
dc.contributor.author	Lee, Jong-Eao	en_US
dc.date.accessioned	2018-01-24T07:39:44Z	-
dc.date.available	2018-01-24T07:39:44Z	-
dc.date.issued	2017	en_US
dc.identifier.uri	http://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT070352206	en_US
dc.identifier.uri	http://hdl.handle.net/11536/140772	-
dc.description.abstract	在此論文中，我們利用橢圓函數dn(u,k)表示 Nonlinear Schrodinger equation(NLS)的某些特殊解q iq_t+q_xx+2\|q\|^2q=0 橢圓函數dn(u,k)定義在黎曼空間上，因此我們先介紹黎曼空間的理論，接著再介紹橢圓函數，最後利用黎曼空間和橢圓函數的理論去解 NLS 的特殊解並分析其退化。	zh_TW
dc.description.abstract	In this paper, we express some special solutions q of the Nonlinear Schrodinger equation(NLS) iq_t+q_xx+2\|q\|^2q=0 by elliptic function dn(u,k). Since the function dn(u,k) is defined on the Riemann surface, we introduce the theory of Riemann surfaces at first, and then we introduce classical elliptic functions. Finally, we use the theory of Riemann surfaces and elliptic function to solve some special solution of NLS and analyze the degeneracies of the NLS solutions.	en_US
dc.language.iso	en_US	en_US
dc.subject	黎曼空間	zh_TW
dc.subject	橢圓函數	zh_TW
dc.subject	非線性薛丁格方程	zh_TW
dc.subject	Riemann surface	en_US
dc.subject	elliptic function	en_US
dc.subject	nonlinear Schrodinger equation	en_US
dc.title	非線性薛丁格方程的基本理論及特殊解	zh_TW
dc.title	The Underlying Theory and Special Solutions of Nonlinear Schrödinger equation	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
顯示於類別：	畢業論文