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Lower Finite Modules Over Commutative Rings With Identity
Author(s):Harmon, Luke Everett
Format:born digital; doctoral dissertations
A bounded partially ordered set (P, 0, 1, ≤) is lower finite providedP is infinite and for each x 6= 1 in P, there are but finitely many elements y in Psuch that y < x. We will call a module M lower finite if the set of ...
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 ...