Vol. 42, Issue 1, pp. 103-110 (2012)
Keywords
fifth-order nonlinearity management, soliton, nonlinear Schrödinger equation, variation method
Abstract
Starting with the nonlinear Schrödinger (NLS) equation, we have derived the evolution equations for the parameters of soliton pulse with propagation distance in optical fibers, taking into consideration the combined effect of second-order dispersion and the fifth-order nonlinearity by means of variation method. According to nonlinear evolution equations, the evolution of the pulse width with propagation distance is obtained under the influence of the different fifth-order nonlinearity. The results show that the pulse width fluctuates periodically under the influence of the different fifth-order nonlinearity. In the cycle, the negative fifth-order nonlinearity makes the pulse-width greater than the initial value while the positive fifth-order nonlinearity makes the pulse width less than the initial value. However, under the positive and negative fifth-order nonlinearity management, compared to the impact of positive or negative fifth-order nonlinearity only, the fluctuations of the solitons width are greatly reduced, even disappear. In other words, the width maintains almost steady. Therefore, it is possible that the pulse width is to be transmitted without any deformation.