請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33160完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家(Tai-Chia Lin) | |
| dc.contributor.author | Bo-Wen Hsu | en |
| dc.contributor.author | 許栢紋 | zh_TW |
| dc.date.accessioned | 2021-06-13T04:27:20Z | - |
| dc.date.available | 2006-07-26 | |
| dc.date.copyright | 2006-07-26 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-07-20 | |
| dc.identifier.citation | C.Sulem and P.Sulem,The Nonlinear Schrödinger equation, self-focusing
and wave collapse (Springer, Berlin, 2000). V.V.Konotop and P.Pacciani, Collapse of solutions of the nonlinear Schrödinger equation with a time-dependent nonlinearity: application to Bose-Einstein condensates, Phys.Rev. Lett 94,240405(2005). O. Kavian, A remark on the blowing-up of solutions to the Cauchy problem for nonlinear Schrödinger equations, Transactions of the American Math. Soc. 299 (1987),193-203. L.Vazquez, L.Streit and V.M.Perez-Garcia,Nonlinear Klein-Gordon and Schrödinger systems: theory and applications, (World Scientific, Singapore, 1995). O.S.Rozanova, Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case, Proceeding of the American Math. Soc. (2004) T.C.Lin and J.C.Wei, Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations, to appear in Physica D. A.S.Desyatnikov, L.Torner and Y.S.Kivshar, Optical vortices and vortex solitons, arXiv:nlin.PS0501026 v1 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33160 | - |
| dc.description.abstract | 考慮非線性薛丁格方程組在R^d的解,將焦點放在解的爆破行為上,可以證明在一定的條件下,解的振幅會在有限時間內趨近無窮. | zh_TW |
| dc.description.abstract | We consider the solutions of the two-coupled nonlinear Schrödinger (CNLS) equations with
time-dependent nonlinearities in R^d, and we concentrate on the wave collapse of the solutions. We prove that under some certain conditions, the amplitutde of the solutions tends to infinity in finite time. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T04:27:20Z (GMT). No. of bitstreams: 1 ntu-95-R93221009-1.pdf: 134836 bytes, checksum: 9f598b275feac10e023b8b644091a36f (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | 1.Introduction and main results 1
2.Some properties 3 3.Proof of theorem 1.1 8 4.More discussion 9 4.1 Attractive coupling term 9 4.2 Bounded domain 10 A.Single equation 11 References 12 | |
| dc.language.iso | en | |
| dc.subject | 薛丁格 | zh_TW |
| dc.subject | 爆破解 | zh_TW |
| dc.subject | dinger equations | en |
| dc.subject | nonlinear Schr&ouml | en |
| dc.subject | blow up | en |
| dc.title | 非線性薛丁格方程組爆破解之研究 | zh_TW |
| dc.title | Blow-up Solutions of Two-Coupled Nonlinear Schrödinger Equations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 郭忠勝,陳俊全 | |
| dc.subject.keyword | 薛丁格,爆破解, | zh_TW |
| dc.subject.keyword | nonlinear Schr&ouml,dinger equations,blow up, | en |
| dc.relation.page | 12 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2006-07-22 | |
| 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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