- 學位論文
黎曼空間與橢圓函數的理論及應用於正弦戈登方程式
The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
摘要
在論文中，我們研究黎曼曲面N個破洞的情況 和數值的理論 計算這些黎曼曲面的路徑積分。然後，我們研究的橢圓函數的經典理論。最後，我們採用兩種理論來解決正弦戈登方程的一些特殊的解決方案。
並列摘要
In this paper, we study the theory of Riemann Surface of genus N and the numerical Computation of path integrals on those Riemann Surfaces. We then study the classical theory of the Elliptic functions. Finally, we apply both theory to solve some special solution of the sine-Gordon Equation.
並列關鍵字
無資料參考文獻
NCTU, Master thesis, 2014
application to the sine-Gordon Equation NTHU, Master thesis, 2013
[8] E.T. Whittaker, A COURSE OF MODERN ANALYSIS, 1920
[1] Chan-wei Wang, study of the Underlying Theory of sine-Gordon Equation
[2] Tz-Shiuan Tzeng, The Theory of Riemann and Elliptic Functions with
延伸閱讀
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- Tai, T. E. (2013). 黎曼空間及橢圓函數的理論及薛丁格方程的應用 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2013.00200
- 朱建柏（2011）。以帶有幅狀基底函數的基本法解橢圓偏微分方程〔碩士論文，大同大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0081-3001201315110893
- 顏致遠（2013）。半古典橢圓波茲曼模型方程式的直接解法〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2013.01901
- Wang, M. (2007). Factorizations of finite mappings on riemann surfaces [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200013913