林太家臺灣大學：數學研究所許栢紋Hsu, Bo-WenBo-WenHsu2007-11-282018-06-282007-11-282018-06-282006http://ntur.lib.ntu.edu.tw//handle/246246/59415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.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 12134836 bytesapplication/pdfen-US薛丁格爆破解nonlinear Schrödinger equationsblow up非線性薛丁格方程組爆破解之研究Blow-up Solutions of Two-Coupled Nonlinear Schrödinger Equationsthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/59415/1/ntu-95-R93221009-1.pdf