Files in this item
Files | Description | Format |
---|---|---|
application/pdf ![]() ![]() | (no description provided) |
Description
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 |
This item appears in the following Collection(s)
-
Dissertations and Theses - Mathematics
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois