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Existence, stability and dynamics of...

Law, Kody John Hoffman.

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Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials./
Author:	Law, Kody John Hoffman.
Description:	206 p.
Notes:	Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.
Contained By:	Dissertation Abstracts International71-04B.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3397723
ISBN:	9781109698954

Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials.
Law, Kody John Hoffman.

Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials. - 206 p.

Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.

Thesis (Ph.D.)--University of Massachusetts Amherst, 2010.

The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schrodinger (NLS) equations with periodic confining potentials in 2(+1) dimensions. I will make predictions about these properties based on a discrete lattice model of coupled ordinary differential equations with the appropriate symmetry. The latter has been justified by Wannier function expansions in a so-called tight-binding approximation in the appropriate parametric regime. Numerical results for the full 2(+1)-D continuum model will be qualitatively compared with discrete model predictions as well as with nonlinear optics experiments in optically induced photonic lattices in photorefractive crystals. The predictions are also relevant for BECs (Bose-Einstein Condensates) in optical lattices.

ISBN: 9781109698954Subjects--Topical Terms:

1669109
Applied Mathematics.

Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials.
LDR:01949nam 2200313 4500 001 1404530
005 20111130124027.5
008 130515s2010 ||||||||||||||||| ||eng d
020 $a 9781109698954
035 $a (UMI)AAI3397723
035 $a AAI3397723
040 $a UMI $c UMI
100 1 $a Law, Kody John Hoffman. $3 1683857
245 1 0 $a Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials.
300 $a 206 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.
500 $a Adviser: Panayotis G. Kevrekidis.
502 $a Thesis (Ph.D.)--University of Massachusetts Amherst, 2010.
520 $a The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schrodinger (NLS) equations with periodic confining potentials in 2(+1) dimensions. I will make predictions about these properties based on a discrete lattice model of coupled ordinary differential equations with the appropriate symmetry. The latter has been justified by Wannier function expansions in a so-called tight-binding approximation in the appropriate parametric regime. Numerical results for the full 2(+1)-D continuum model will be qualitatively compared with discrete model predictions as well as with nonlinear optics experiments in optically induced photonic lattices in photorefractive crystals. The predictions are also relevant for BECs (Bose-Einstein Condensates) in optical lattices.
590 $a School code: 0118.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Physics, Optics. $3 1018756
690 $a 0364
690 $a 0752
710 2 $a University of Massachusetts Amherst. $b Mathematics. $3 1683858
773 0 $t Dissertation Abstracts International $g 71-04B.
790 1 0 $a Kevrekidis, Panayotis G., $e advisor
790 1 0 $a Whitaker, Nathaniel $e committee member
790 1 0 $a Johnston, Hans $e committee member
790 1 0 $a Mountziaris, T.J. $e committee member
790 $a 0118
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3397723