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High frequency integrable regimes in nonlocal nonlinear optics
Antonio Moro, Boris Konopelchenko
We consider an integrable model which describes light beams propagating in nonlocal nonlinear media of Cole-Cole type. The model is derived as high frequency limit of both Maxwell…
Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation
Boris Konopelchenko, Antonio Moro
Recently, a new model of propagation of the light through the so-called weakly three-dimensional Cole-Cole nonlinear medium with short-range nonlocality has been proposed. In parti…
Geometrical optics in nonlinear media and integrable equations
Boris G. Konopelchenko, Antonio Moro
It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of dielectric consta…
Quasi-classical DBAR-dressing approach to the weakly dispersive KP hierarchy
Boris Konopelchenko, Antonio Moro
Recently proposed quasi-classical DBAR-dressing method provides a systematic approach to study the weakly dispersive limit of integrable systems. We apply the quasi-classical DBAR-…