The Dynamical study and analysis of diverse optical soliton solutions to Chen-Lee-Liu equation by implementing complete discrimination system for polynomial method

Abstract

Optical solitons are discovered with Chen-Lee-Liu equation (CLLE). CLLE explains the transportation of optical pulses in fibre optics. The goal of the current study is to examine various analytical soliton solutions of CLLE via complete discrimination system for polynomial (CDSP) approach. These consists of elliptic, periodic, irrational, hyperbolic and exponential function solutions. This article also explores the Hamiltonian and topological properties of CLLE. The phase portraits of dynamical system provides the evidence of presence and reliability of topological properties of solutions. CDSP technique is not only suitable for obtaining soliton solutions but for also for conducting qualitative analysis. We also create 3D and 2D graphs by utilising the appropriate values of related parameters to give the physical interpretation of derived chirped solutions.