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Zbl 1121.78011
Moro, Antonio; Konopelchenko, Boris
High frequency integrable regimes in nonlocal nonlinear optics. (English)
[J] J. Geom. Symmetry Phys. 7, 37-83 (2006). ISSN 1312-5192; ISSN 1314-5673/e

From the authors' abstract: \par 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 equations and the nonlocal nonlinear Schrödinger equation. We demonstrate that for a general form of nonlinearity there exist self-guided light beams. In high frequency limit nonlocal perturbations can be seen as a class of phase deformation along one direction. We study in detail nonlocal perturbations described by the dispersionless Veselov-Novikov hierarchy.
[Johannes Elschner (Berlin)]

MSC 2000:: *78A60 Lasers, etc.
78M35 Asymptotic analysis (optics)
35Q60 PDE of electromagnetic theory and optics
37K15 Integration by inverse spectral and scattering methods

Keywords: nonlinear Maxwell equations; nonlinear Schrödinger equation; high frequency limit; integrable regimes

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