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Nonlinear dynamics of semiclassical coherent states in periodic potentials
(Institute of Physics, 2012-05)
We consider nonlinear Schrödinger equations with either local or nonlocal nonlinearities. In addition, we include periodic potentials as used, for example, in matter wave experiments in optical lattices. By considering ...
Geometric Optics and Instability for NLS and Davey-Stewartson Models
(European Mathematical Society, 2012-06)
We study the interaction of (slowly modulated) high frequency waves for multi-dimensional nonlinear Schr odinger equations with gauge invariant power-law nonlinearities and nonlocal perturbations. The model includes the ...