請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33320
標題: | 具量子位能之非線性薛丁格方程與其在冷電漿方程上的應用 Nonlinear Schrodinger Equations with Quantum Potential and the Applications in Cold Plasma Equations |
作者: | Ming-Chieh Chen 陳明傑 |
指導教授: | 李志豪 |
關鍵字: | 冷電漿,毛細現象系統,共振薛丁格方程,反應擴散方程,廣田方法, Cold plasma,Capillarity system,Resonant Nonlinear Schr, |
出版年 : | 2006 |
學位: | 碩士 |
摘要: | In this paper, we first review the following results of C. Rogers et al: the cold plasma system under some physical constraints is related to Resonant Nonlinear Schr'{o}dinger Equation(RNLS) and the capillarity system under some chemical constraints is also related to RNLScite{roger}, cite{main}. The main result is to obtain one-dissipaton and two-dissipaton solution of the Reaction-Diffusion(RD) system with nonzero boundary condition via
Hirota method. In one-dissipaton case, we make a comparison with the exact solutions derived from B'{a}cklund-Darboux transformation. The Reaction-Diffusion system is related to Resonant Nonlinear Schr'{o}dinger Equationcite{Lee}, which is related to a system of equations in cold plasma physics under special constraintscite{main}. Some plots of the resonant interaction are shown here. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33320 |
全文授權: | 有償授權 |
顯示於系所單位: | 數學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-95-1.pdf 目前未授權公開取用 | 534.35 kB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。