Attenuated solitons through some dispersion profiles in a tapered inhomogeneous fiber with erbium effect

In this work, we study the propagation of optical solitons in a tapered optical fiber with attenuating effects under the effect of erbium dopants. Through the constructed Lax pair, two soliton solutions are obtained with the aid of Darboux transformation. Using Mathematica tool, obtained two soliton solution is graphically represented as 2D and 3D plots. The generated two solitons are manipulated through some dispersion profiles with attenuating effects. Results are meaningful to understand the propagation of optical soliton in the concept of lossy optical medium. Moreover, the proposed approach can be used to control the soliton with lossy effects via dispersion management scheme. Our results reveals that the changes of the soliton width, amplitude, and phases are potentially influenced by the variable coefficients particularly dispersion parameter. The GVD profile mainly affects the intensity of optical solitons which leads to control the attenuation due to absorption of optical medium. These results will be helpful to understand the dynamics of attenuated soliton transmission in an inhomogeneous optical fiber medium.