Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

Abstract

In this manuscript, the perturbed nonlinear Schrödinger’s equation (PNLSE) is considered, which has many implications in various fields such as ferromagnetic material, nonlinear optics, and optical fibers. The focus of this paper is to obtain soliton solutions of the perturbed nonlinear Schrödinger’s equation by implementing two analytical methods, namely, tanh–coth method and energy balance method. As an outcome, a various soliton solutions like, breather solitary wave, lump type soliton in periodic background, singular type soliton, and periodic soliton solution obtain via Mathematica. Additionally, the 2D, 3D, and contour plots are used to visualize the graphical propagation of the achieved soliton solutions by selecting appropriate parametric values.

Keywords

• Perturbed nonlinear Schrödinger’s equation
• Tanh–coth method
• Energy balance method
• Periodic solitary wave solution