Moro, Antonio; Konopelchenko, Boris High frequency integrable regimes in nonlocal nonlinear optics. (English) Zbl 1121.78011 J. Geom. Symmetry Phys. 7, 37-83 (2006). From the authors’ abstract: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. Reviewer: Johannes Elschner (Berlin) Cited in 1 Document MSC: 78A60 Lasers, masers, optical bistability, nonlinear optics 78M35 Asymptotic analysis in optics and electromagnetic theory 35Q60 PDEs in connection with optics and electromagnetic theory 37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems Keywords:nonlinear Maxwell equations; nonlinear Schrödinger equation; high frequency limit; integrable regimes PDF BibTeX XML Cite \textit{A. Moro} and \textit{B. Konopelchenko}, J. Geom. Symmetry Phys. 7, 37--83 (2006; Zbl 1121.78011) Full Text: arXiv OpenURL