Preprint Article Version 1 This version is not peer-reviewed

Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation

Version 1 : Received: 16 November 2018 / Approved: 19 November 2018 / Online: 19 November 2018 (10:28:56 CET)

How to cite: Sabi'u, J.; Rezazadeh, H.; Eslami, M.; Korkmaz, A. Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation. Preprints 2018, 2018110447 (doi: 10.20944/preprints201811.0447.v1). Sabi'u, J.; Rezazadeh, H.; Eslami, M.; Korkmaz, A. Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation. Preprints 2018, 2018110447 (doi: 10.20944/preprints201811.0447.v1).

Abstract

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 solutions to the governing equation efficiently.

Subject Areas

Perturbed Gerdjikov–Ivanov equation; travelling wave solution; extended auxiliary equation method; complex wave solution

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