Effect of random noise behavior on the properties of forcing nonlinear Maccari’s model structures

Abstract

This article analyzes and examines the nonlinear Maccari’s equations with a noise term using the powerful sub-equation mathematical approach. Several significant solitary and rational solutions have been provided. These solutions are crucial in a number of fields, such as superfluid, optical fiber communication, and space-confined plasma waves. The effects of model parameters on the obtained solutions’ features have been discussed. The randomness parameter affects the envelope, solitonic structures, and energy properties. It was reported that by increasing the random parameter, Brownian isolated driving shock waves with random amplitude were produced. Finally, the method described here may be applied to many nonlinear systems and new energy trends in natural science.