Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: Soliton interaction and soliton control |
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Authors: | Wen-Jun Liu Tao Xu Yan Jiang |
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Affiliation: | a School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China b State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China c Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P. O. Box 128, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract: | Symbolically investigated in this paper is a nonlinear Schrödinger equation with the varying dispersion and nonlinearity for the propagation of optical pulses in the normal dispersion regime of inhomogeneous optical fibers. With the aid of the Hirota method, analytic one- and two-soliton solutions are obtained. Relevant properties of physical and optical interest are illustrated. Different from the previous results, both the bright and dark solitons are hereby derived in the normal dispersion regime of the inhomogeneous optical fibers. Moreover, different dispersion profiles of the dispersion-decreasing fibers can be used to realize the soliton control. Finally, soliton interaction is discussed with the soliton control confirmed to have no influence on the interaction. The results might be of certain value for the study of the signal generator and soliton control. |
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Keywords: | Nonlinear Schrö dinger equation Symbolic computation Soliton control Soliton interaction Dispersion-decreasing fibers |
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