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Optical soliton perturbation with time-dependent coefficients in a log law media |
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| Authors: | Anjan Biswas Carl Cleary Daniela Milovic |
| Institution: | a Department of Mathematical Sciences, Applied Mathematics Research Center, Delaware State University, Dover, DE 19901-2277, USA b Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA c Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800 Nis, Serbia |
| Abstract: | This paper obtains the exact 1-soliton solution to the nonlinear Schrödinger’s equation with log law nonlinearity in presence of time-dependent perturbations. The dispersion and nonlinearity are also taken to be time-dependent. The perturbation terms that are considered are linear attenuation and inter-modal dispersion. The constraint condition between the time-dependent coefficients also fall out as a necessary condition for the solitons to exist. |
| Keywords: | Solitons Integrability |
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