Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for +publisher:"U of Massachusetts : PhD" +contributor:("Panayotis G. Kevrekidis"). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters

1. Law, Kody John Hoffman. Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials.

Degree: PhD, Mathematics, 2010, U of Massachusetts : PhD

The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (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. Advisors/Committee Members: Panayotis G. Kevrekidis, Nathaniel Whitaker, Hans Johnston.

Subjects/Keywords: DNLS; NLS; Non-square lattices; Nonlinear waves; Photonic lattices; Saturable nonlinearity; Mathematics; Statistics and Probability

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Law, K. J. H. (2010). Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials. (Doctoral Dissertation). U of Massachusetts : PhD. Retrieved from https://scholarworks.umass.edu/open_access_dissertations/179

Chicago Manual of Style (16th Edition):

Law, Kody John Hoffman. “Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials.” 2010. Doctoral Dissertation, U of Massachusetts : PhD. Accessed January 24, 2020. https://scholarworks.umass.edu/open_access_dissertations/179.

MLA Handbook (7th Edition):

Law, Kody John Hoffman. “Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials.” 2010. Web. 24 Jan 2020.

Vancouver:

Law KJH. Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials. [Internet] [Doctoral dissertation]. U of Massachusetts : PhD; 2010. [cited 2020 Jan 24]. Available from: https://scholarworks.umass.edu/open_access_dissertations/179.

Council of Science Editors:

Law KJH. Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials. [Doctoral Dissertation]. U of Massachusetts : PhD; 2010. Available from: https://scholarworks.umass.edu/open_access_dissertations/179

.