Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis

The perturbed nonlinear Schrödinger equation is used frequently to simulate ultra-short pulse lasers, nonlinear optics, optical communication systems, plasmas and other areas of mathematical physics and engineering. The main objective of this study is two fold. (1) to obtain the different kinds of soliton solutions of perturbed nonlinear Schrödinger equation with kerr law nonlinearity which are absent in the literature, (2) the implementation of improved F-expansion method for such studied model with Modulation Instability. As far as our best knowledge, this have never been studied before in this way. To endorse the physical compatibility of the results, the 2D, 3D, contour, and density plots have been delineated using appropriate parametric values. The evaluated results suggested that the technique employed in this research to recover inclusive and standard solutions is approachable, efficient, and speedier in computing and can be considered a handy tool in solving more complex phenomena that arise in engineering, mathematical physics and optical fiber.