Nonlinear waves in optical media

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Abstract

In nonlinear optical systems quasi-monochromatic waves satisfy the classical, constant dispersion and dispersion managed nonlocal, nonlinear Schrdinger equations, both of which exhibit localized pulse solutions. Current research has shown that mode-locked lasers are also described by dispersion managed equations. In spatial systems recent developments have attracted considerable interest in 2D photonic lattices. A computational method is introduced to find these and other localized waves in nonlinear optical media with vanishing and non-vanishing boundary conditions. © 2009 Elsevier B.V.

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Ablowitz, M. J., & Horikis, T. P. (2010). Nonlinear waves in optical media. In Journal of Computational and Applied Mathematics (Vol. 234, pp. 1896–1903). https://doi.org/10.1016/j.cam.2009.08.039

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