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Advances in Optical Technologies
Volume 2013 (2013), Article ID 636472, 5 pages
Research Article

Application of the Expansion Method in Ultrashort Pulses in Nonlinear Optical Fibers

School of Mathematics and Physics, Research Institute of Photoelectric Technology, Changzhou University, Changzhou 213164, China

Received 18 July 2013; Revised 5 November 2013; Accepted 11 November 2013

Academic Editor: Zoran Ikonic

Copyright © 2013 Jiang Xing-Fang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the increasing input power in optical fibers, the dispersion problem is becoming a severe restriction on wavelength division multiplexing (WDM). With the aid of solitons, in which the shape and speed can remain constant during propagation, it is expected that the transmission of nonlinear ultrashort pulses in optical fibers can effectively control the dispersion. The propagation of a nonlinear ultrashort laser pulse in an optical fiber, which fits the high-order nonlinear Schrödinger equation (NLSE), has been solved using the expansion method. Group velocity dispersion, self-phase modulation, the fourth-order dispersion, and the fifth-order nonlinearity of the high-order NLSE were taken into consideration. A series of solutions has been obtained such as the solitary wave solutions of kink, inverse kink, the tangent trigonometric function, and the cotangent trigonometric function. The results have shown that the expansion method is an effective way to obtain the exact solutions for the high-order NLSE, and it provides a theoretical basis for the transmission of ultrashort pulses in nonlinear optical fibers.