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Title:Dispersive Estimates for the Schrodinger Equation
Author(s):Green, William Robert
Doctoral Committee Chair(s):Erdogan, M. Burak
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Applied Mathematics
Abstract:Finally in Chapter 3 we consider a problem involving the non-linear Schrodinger equation. In particular, we consider the following equation that arises in fiber optic communication systems, iut+dtu xx+u2u=0. We can reduce this to a non-linear, non-local eigenvalue equation that describes the so-called dispersion management solitons. We prove that the dispersion management solitons decay exponentially in x and in the Fourier transform of x.
Issue Date:2010
Type:Text
Language:English
Description:119 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.
URI:http://hdl.handle.net/2142/86938
Other Identifier(s):(MiAaPQ)AAI3452169
Date Available in IDEALS:2015-09-28
Date Deposited:2010


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