Nonlinear Schrodinger Equations with Quantum Potential and the Applications in Cold Plasma Equations
Date Issued
2006
Date
2006
Author(s)
Chen, Ming-Chieh
Abstract
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.
Subjects
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
Type
thesis
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