Abstract
This chapter is devoted to the study of the DM-NLSE in polarization preserving fibers, birefringent fibers as well as DWDM systems by the aid of multiple scale analysis. When this technique applied to the DM-NLSE it will convert the nonlinear partial differential equation to a nonlinear integro-differential equation with a nonlinear non-local kernel. This integro-differential equation is known as the Gabitov-Turitsyn equation (GTE) that first appeared in 1996 [16]. Later in 1998, this equation was refined in a simpler format by Ablowitz and Biondini [3]. Later, this equation was extended by Biswas to the cases of birefringent fibers and DWDM systems in 2001 and 2003, respectively [11–13].
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Biswas, A., Milovic, D., Edwards, M. (2010). Gabitov-Turitsyn Equation. In: Mathematical Theory of Dispersion-Managed Optical Solitons. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10220-2_7
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