Abstract
This paper considers the coupled Fokas–Lenells equation, which is used to study the transmission of signals through a polarization-preserving optical fibre. Its several solutions can play an insignificant role in describing the soliton dynamics of optical fibres. Two techniques, the Sine-Gordon expansion method and the rapidly convergent approximation methods, are applied in this context to hunt down its exact solutions. It is established that all solutions derived by the Sine-Gordon expansion method are particular cases of two-exponential solution sets obtained by the rapidly convergent approximation method. Derived solutions are recast in a variety of bright and dark solutions, as well as periodic solutions. A few important solutions among them are plotted and analysed to get an idea about the transmission of signals through a polarization-preserving optical fibre.
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