With the increasing input power in optical fibers, the dispersion problem is becoming a severe restriction on wavelength division\r\nmultiplexing (WDM).With the aid of solitons, in which the shape and speed can remain constant during propagation, it is expected\r\nthat the transmission of nonlinear ultrashort pulses in optical fibers can effectively control the dispersion. The propagation of a\r\nnonlinear ultrashort laser pulse in an optical fiber, which fits the high-order nonlinear Schr�¨odinger equation (NLSE), has been\r\nsolved using the G??/G expansion method. Group velocity dispersion, self-phase modulation, the fourth-order dispersion, and the\r\nfifth-order nonlinearity of the high-order NLSE were taken into consideration. A series of solutions has been obtained such as the\r\nsolitary wave solutions of kink, inverse kink, the tangent trigonometric function, and the cotangent trigonometric function. The\r\nresults have shown that the G??/G expansion method is an effective way to obtain the exact solutions for the high-order NLSE, and\r\nit provides a theoretical basis for the transmission of ultrashort pulses in nonlinear optical fibers.
Loading....