Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33160
Title: | 非線性薛丁格方程組爆破解之研究 Blow-up Solutions of Two-Coupled Nonlinear Schrödinger Equations |
Authors: | Bo-Wen Hsu 許栢紋 |
Advisor: | 林太家(Tai-Chia Lin) |
Keyword: | 薛丁格,爆破解, nonlinear Schr&ouml,dinger equations,blow up, |
Publication Year : | 2006 |
Degree: | 碩士 |
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. 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. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33160 |
Fulltext Rights: | 有償授權 |
Appears in Collections: | 數學系 |
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File | Size | Format | |
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ntu-95-1.pdf Restricted Access | 131.68 kB | Adobe PDF |
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