Novel soliton solutions to the Atangana Baleanu (AB) fractional for ion sound and Langmuir waves (ISALWs) equations

In this paper, new soliton solutions with Atangana-Baleanu (AB) fractional for ion sound and Langmuir waves (ISALWs) are presented. An extended sub-equation method (ESEM) is used in symbolic software to deal with this governing model to obtain various soliton solutions in terms of trigonometric functions, hyperbolic functions, and other functional forms. Brand-new and general solitary wave solutions were obtained for the governing model. The behavior of the soliton solutions was also examined with the three-dimensional (3D) graphics. The dynamical behavior of the obtained solutions shows that they are various varieties of soliton shapes, including bell-shaped, single-soliton-shaped, and mixed-type solitons. This approach is thought to be a promising one for handling a variety of AB fractional evolution systems to validate the effectiveness of the ESEM.