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Abstract
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There is an ever-increasing interest in the study of soliton propagation through optical fibers. There are lots of results reported in various published papers, books and monographs. However, most of these results are in one-dimensional cases. While in realistic situation, it is necessary to propagate solitons in bulk, it is therefore necessary to address the issue of mass propagation of these pulses through optical fibers. It is only then efficiency can be achieved. This is only possible with dense wavelength multiplexed system (DWDM). This paper is going to study the dynamics of optical soliton propagation through DWDM system for Kerr and parabolic law nonlinearity. The integrability aspect of the governing equation will be the focus of research in this paper. It must be noted that there are several integration tools that are applicable to study these governing equations [1-15]. These are Lie symmetry analysis, F-expansion scheme, ansatz approach, Kudryashov’s method and several others. This paper will be devoted to one such modern method of integrability. It is G’/G-expansion scheme. This algorithm will integrate the governing equation and will recover dark and singular solitons for the model with Kerr and parabolic laws of nonlinearity. There are a couple of other solutions that will be obtained which are of no interest in the optical fibers regime.
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