Exploration of optical solitons of a hyperbolic nonlinear Schrödinger equation

The investigation of optical solitons, a subject of significant interest in fibre optics and communications due to its importance in signal transmission and data processing, is the focus of the study. For the (2+1) hyperbolic Schrödinger equation (SE), the main goal is to find novel soliton solutions while taking nonlinear effects into account. The study uses the modified Khater method and sine-Gordon expansion method as two separate techniques to accomplish this goal. The purpose of selecting these techniques is to offer a thorough strategy for finding solutions for the SE. A number of closed-form solutions for the SE can be obtained using Mathematica software, which is one of the study’s important findings. These solutions offer valuable insights into the behavior of optical solitons in complex field.