On solutions to integrable and nonintegrable nonlinear wave equations

Authors
Leisman, Katelyn Plaisier
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Other Contributors
Kovacic, Gregor
Cai, David
Biondini, Gino
Kramer, Peter Roland, 1971-
Banks, Jeffrey
Issue Date
2017-08
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
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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
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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