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INVERSE SCATTERING TRANSFORM AND SOLITONS FOR MATRIX NONLINEAR SCHRODINGER SYSTEMS AND FOR THE DEFOCUSING ABLOWITZ-LADIK EQUATION WITH NONZERO BOUNDARY CONDITIONS
Author(s):Ortiz, Alyssa Kayelin
The scalar nonlinear Schrodinger (NLS) equation is a nonlinear partial differential equation that models many of the world’s weakly nonlinear dispersive wave phenomena. This dissertation discusses two important variants ...