Abstract
Abstract In the present work, we investigate soliton structures in optical fiber communications. The medium is described by the Kundu–Mukherjee–Naskar model. With the aid of the ansatz approach, the exact solutions are constructed. Consequently, distinct wave structures including W-shaped, bright and dark solitons are derived. These new soliton solutions are retrieved under certain parametric conditions. Besides, it is found that the bright soliton has two different types in a particular limit. Optical solitons are displayed graphically to shed light on their behaviors.
Highlights
Information transmission in optical communication channels is based on soliton propagation [1,2,3]
The model of KMN equation discussed in the present work is given by iΨt + aΨxy + ibΨ(ΨΨ∗x − Ψ∗Ψx) = 0, (1)
The current study has dealt with the soliton solutions of KMN equation
Summary
Information transmission in optical communication channels is based on soliton propagation [1,2,3]. One of the important models that describe the soliton in optics and optical fibers is the Kundu–Mukherjee–Naskar (KMN) equation. This model is considered as an extension to the nonlinear Schrödinger equation containing mixed types of nonlinear effect in reference to Kerr and non-Kerr law nonlinearities. Equation (1) was introduced by the Kundu and Mukherjee in 2013 [6] It is basically originated as a two-dimensional nonlinear Schrödinger equation which is derived from the basic hydrodynamic equations. This model can be used to describe wave propagation in optical fiber and oceanic rogue waves as well as ion-acoustic wave in a magnetized plasma [7,8,9,10]. The traveling wave reduction of the model is derived and it is dealt with soliton ansatz having new functional form in terms of the hyperbolic secant and tangent functions
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