Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
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...
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ScholarWorks@UMass Amherst
2010
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| Online Access: | https://scholarworks.umass.edu/open_access_dissertations/179 https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1177&context=open_access_dissertations |