Perturbation of Gaussian optical solitons in dispersion-managed fibers Russell Kohl a , Anjan Biswas a, * , Daniela Milovic b , Essaid Zerrad c a Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901-2277, USA b Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800 Nis, Serbia c Department of Physics and Pre-Engineering, Delaware State University, Dover DE 19901-2277, USA Abstract The dispersion-managed optical solitons is studied in this paper in presence of various perturbation terms. The Gauss- ian solitons are considered and the dynamics of such pulses are obtained in presence of such perturbation terms. The inte- grals of motion are evaluated. The soliton perturbation theory is exploited to formulate the parameter dynamics of the Gaussian solitons. Ó 2007 Elsevier Inc. All rights reserved. Keywords: Optical solitons; Dispersion-management; Perturbation; Non-linear Schrodinger’s equation 1. Introduction The propagation of solitons through optical fibers has been a major area of research given its potential applicability in all optical communication systems [1–20]. The field of telecommunications has undergone a substantial evolution in the last couple of decades due to the impressive progress in the development of optical fibers, optical amplifiers as well as transmitters and receivers. In a modern optical communication system, the transmission link is composed of optical fibers and amplifiers that replace the electrical regenerators. But the amplifiers introduce some noise and signal distortion that limit the system capacity. Presently the optical sys- tems that show the best characteristics in terms of simplicity, cost and robustness against the degrading effects of a link are those based on intensity modulation with direct detection (IM-DD). Conventional IM-DD systems are based on non-return-to-zero (NRZ) format, but for transmission at higher data rate the return- to-zero (RZ) format is preferred. When the data rate is quite high, soliton transmission can be used. It allows 0096-3003/$ - see front matter Ó 2007 Elsevier Inc. All rights reserved. doi:10.1016/j.amc.2007.09.059 * Corresponding author. E-mail address: biswas.anjan@gmail.com (A. Biswas). Available online at www.sciencedirect.com Applied Mathematics and Computation 199 (2008) 250–258 www.elsevier.com/locate/amc