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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>
| Advisor: | |
| Commitee: | |
| School: | National University of Singapore (Singapore) |
| Department: | Mathematics |
| School Location: | Republic of Singapore |
| Source: | DAI-B 77/06(E), Dissertation Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Mathematics |
| Keywords: | |
| Publication Number: | 10006015 |
| ISBN: | 9781339438818 |
