Optical soliton solutions for the Gerdjikov-Ivanov model via tan(phi/2)-expansion method

In this paper, by introducing new approach, the improved tan(phi(xi)/2)-expansion method (ITEM) is further extended into Gerdjikov-Ivanov (Cl) model. As a result, the hyperbolic function solution, the trigonometric function solution, the exponential solution and the rational solution with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions and the periodic wave solutions are also derived from the traveling wave solutions. Moreover, it is observed that the suggested technique is compatible of such problems. We obtained the further solutions comparing with other methods. The exact traveling wave solutions including solitons, kink, periodic and rational solutions have been found, We will investigate the Cl envelope solitons with the framework of Madelung fluid description. The results of applying this procedure to the studied cases show the high efficiency of the new technique. It is shown that this method is a powerful mathematical tool for solving problems in fluids mechanics. (C) 2016 Elsevier GmbH. All rights reserved.