Klein-Gordon-Schrödinger (KGS) equations describes a system of a conserved scalar nucleon interacting with a neutral scalar meson coupled through the Yukawa interaction. It has a wide range of applications, including but not limited to the study of the dynamics of small but finite amplitude nonlinearly interacting perturbations in many-body physics, nonlinear optics and optical communications, nonlinear plasmas and complex geophysical flows, as well as the intense laser-plasma interactions.
The purpose of this thesis is to propose and analyze efficient and uniformly accurate numerical methods for solving the KGS equations in the singular limit regime, i.e., 0 < ϵ << 1. (Abstract shortened by UMI.) </p>
|School:||National University of Singapore (Singapore)|
|School Location:||Republic of Singapore|
|Source:||DAI-B 77/06(E), Dissertation Abstracts International|
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