On solutions to integrable and nonintegrable nonlinear wave equations
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Authors
Leisman, Katelyn Plaisier
Issue Date
2017-08
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mathematics
Alternative Title
Abstract
Two well known integrable nonlinear wave equations that I will discuss are the undamped Maxwell Bloch Equations (MBE) and the Nonlinear Schröedinger Equation (NLS). Both have soliton solutions: single wave pulses that retain their shape, area, and group velocity as they propagate.
Description
August 2017
School of Science
School of Science
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY