Abstract
Abstract This work deals the construction of novel soliton solutions to the Atangana–Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves by using Sardar-subequation method (SSM). The outcomes are in the form of bright, singular, dark and combo soliton solutions. These solutions have wide applications in the arena of optoelectronics and wave propagation. The bright solitons will be a vast advantage in controlling the soliton disorder, dark solitons are also beneficial for soliton communication when a background wave exists and singular solitons only elaborate the shape of solitons and show a total spectrum of soliton solutions created from the model. These results would be very helpful to study and understand the physical phenomena in nonlinear optics. The performance of the SSM shows that this is powerful, talented, suitable and direct technique to discover the exact solutions for a number of nonlinear fractional models.
Highlights
The exploration of novel results of nonlinear fractional differential equations (NLFDEs) has become much interested for many researchers in different fields of physical sciences
The results of this article will be valuable for researchers to study the most noticeable applications for a system of ion sound and Langmuir waves (ISALWs) with AB fractional derivative
We have discovered novel soliton solutions as well as trigonometric and hyperbolic functions solutions for the system of ISALWs with AB fractional derivative using the Sardar-subequation method (SSM)
Summary
The exploration of novel results of nonlinear fractional differential equations (NLFDEs) has become much interested for many researchers in different fields of physical sciences. The analysis of such models plays a significant role to understand the everyday physical phenomena in nonlinear evolution equations. This article is structured as follows: Section 2 contains the governing model.
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