New distinct optical dynamics of the beta-fractionally perturbed Chen–Lee–Liu model in fiber optics

Abstract

In this paper, we have studied the new distinct optical solutions of the fractional form of the perturbed Chen–Lee–Liu model (CLLM). The beta-fractional derivative form of the CLLM is considered here. The modified Khater method is used to generate the solutions. The solutions yield distinct wave characteristics for different fractional and parametric values. Anti-peakon, two-dark soliton solution, periodic, w-shape, bright, dark, combined dark–bright, bell shape, anti-bell shape, two-soliton solution, grey type periodic solution, and combined anti-peakon-bright solutions are the obtained wave solutions. Graphical representations are used to examine the physical interpretation of the resulting solutions. These solutions are extremely useful in the field of fiber optics as well as plasma physics.