University of Guilan Computational Sciences and Engineering 2783-2503 2 2 2022 09 01 Extended Auxiliary Equation Method to the Perturbed Gerdjikov-Ivanov Equation 217 226 6213 10.22124/cse.2023.23788.1047 EN Jamilu Sabiu Department of Mathematics, Northwest University, Kano, Nigeria Hadi Rezazadeh Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran Mostafa Eslami Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Alper Korkmaz Nord Staße 9, Weimar, Germany Journal Article 2023 01 05 We apply utilized the extended form of the auxiliary equation method to obtain extensively reliable exact travelling wave solutions of perturbed Gerdjikov–Ivanov equation (GIE)that is widely used as a model in the field theory of quanta and non-linear optics. The method is based on a simple first order second degree ODE. The new form of the approach gives more solutionsto the governing equation efficiently. https://cse.guilan.ac.ir/article_6213_df85e1f342901729c4f0d490ee8ba653.pdf