Distinct optical soliton solutions to the fractional Hirota Maccari system through two separate strategies

Abstract

The real-world phenomena are characterized with the assistance of nonlinear evolution equations. The present study explores interesting and effective appropriate solitary wave solutions of Hirota Maccari system (HMs) in the sense of beta fractional derivative. This nonlinear model is popular for its significant role in explaining the phenomena relating to plasma physics, optical fibers, and marine engineering. The solitons arise in the mentioned model state how the waves maintain amplitude and shape during the propagation in fiber which is important for long distance data transmission and fiber optic technology. We impose the improved auxiliary equation and improved tanh approaches on the suggested model and accumulate numerous wave solutions in a successful manner. The well-furnished solutions are characterized through graphical representations in 3D, 2D and contour profiles to illustrate the dynamic nature of nonlinear optical solitons. The effects of the wave phase are brought out with the assistance of multiple 2D outlines. A variety of solitons are noticed alongside peakon, kink, anti-kink, singular kink, cuspon, singular bell, anti-bell, bell, periodic and compacton etc. N-shape soliton and M-shape soliton are also constructed in this study. A comparison view of the achieved solutions with the existing results of literature is drawn for highlighting the novelty and diversity of the present entire work. The achieved optical solitons alongside other solutions might be significant to analyze the nonlinear phenomena in signal processing and optic fiber communication.