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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 ...
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 ...