林太家臺灣大學：數學研究所鄒忠男Tzou, Chung-NanChung-NanTzou2007-11-282018-06-282007-11-282018-06-282007http://ntur.lib.ntu.edu.tw//handle/246246/59489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。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.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 17258367 bytesapplication/pdfen-US非線性薛丁格方程組爆炸解雙曲型.Nonlinear Schrodinger Systemsblow-up solutionshyperbolic type.thesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/59489/1/ntu-96-R94221036-1.pdf