請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29220完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家 | |
| dc.contributor.author | Chung-Nan Tzou | en |
| dc.contributor.author | 鄒忠男 | zh_TW |
| dc.date.accessioned | 2021-06-13T01:02:58Z | - |
| dc.date.available | 2007-07-31 | |
| dc.date.copyright | 2007-07-31 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-23 | |
| dc.identifier.citation | References
[1] Rozanova, O.S.: Hydrodynamic Approach to Constructing Solutions of the Nonlinear Schrödinger Equation In the Critical Case. Proceedings of the American Mathematical Society. Volume 133, Number 8, 2347- 2358.(2005). [2] Lin, T.C., Wei, J.C.:Solitary and Self-Similar Solutions of Two- Component System of Nonlinear Schrödinger Equations. Physica D 220, 99-115.(2006). [3] Sulem, C., Sulem, P.L.: The Nonlinear Schrödinger Equation. Springer. (1999). [4] Perko, L.: Differential equations and Dynamic Systems. Springer.(2000). 17 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29220 | - |
| dc.description.abstract | 摘要
本文我們探討一個非線性薛丁格方程式組。透過Madelung 轉換 得到一個自我相似解，並說明這個解將會在有限時間內爆破。最後將 討論這個爆破解的外觀。 | zh_TW |
| dc.description.abstract | Abstract:
In this paper, we will discuss some behavior of a system of Nonlinear Schrödinger Equations and construct a self-similar solution which blows up at a Finite moment of time. Finally, we will discuss the profile of this blow-up solution. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T01:02:58Z (GMT). No. of bitstreams: 1 ntu-96-R94221036-1.pdf: 258367 bytes, checksum: 6953bc2113b11141d9f846433f2b6863 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | Contents
Abstract v 1 Introduction 1 2 Proof of Proposition 1 2 3 Proof of proposition 2 6 4 Discussion of the profile (u,v) 7 References 17 | |
| dc.language.iso | en | |
| dc.title | 非線性薛丁格方程之爆破解 | zh_TW |
| dc.title | Blow-up Solutions of Nonlinear Schrödinger Systems | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 袁淵明,林惠莉 | |
| dc.subject.keyword | 非線性薛丁格方程組,爆炸解,雙曲型., | zh_TW |
| dc.subject.keyword | Nonlinear Schrodinger Systems,blow-up solutions,hyperbolic type., | en |
| dc.relation.page | 17 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-07-25 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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