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 ۹, Weimar, Germany

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.

Perturbed Gerdjikov– Ivanov equation, Travelling wave solution, Extended auxiliary equation method, Complex wave solution