Submitted:
16 November 2018
Posted:
19 November 2018
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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.
Keywords:
Perturbed Gerdjikov–Ivanov equation
; travelling wave solution
; extended auxiliary equation method
; complex wave solution
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