University of GuilanComputational Sciences and Engineering2783-25032220220901Extended Auxiliary Equation Method to the Perturbed Gerdjikov-Ivanov Equation217226621310.22124/cse.2023.23788.1047ENJamiluSabiuDepartment of Mathematics, Northwest University, Kano, NigeriaHadiRezazadehFaculty of Engineering Technology,
Amol University of Special Modern Technologies, Amol, Iran0000-0003-3800-8406MostafaEslamiDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranAlperKorkmazNord Staße 9, Weimar, GermanyJournal Article20230105We apply utilized the extended form of the auxiliary equation method to obtain extensively reliable exact travelling wave solutions of perturbed Gerdjikovâ€“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