Solitary wave structures for the stochastic Nizhnik–Novikov–Veselov system via modified generalized rational exponential function method

Abstract

In this article, a significant stochastic Nizhnik–Novikov–Veselov (SNNV) system with truncated M-fractional derivative (TMD) is investigated. This mathematical model is considered an isotropic Lax extension of the one-dimensional Kortewegde Vries equation which has diverse applications in the areas of warm ions, shallow-water waves, electromagnetic signals, and river irrigation flows. To collect different solitary wave solutions of the SNNV system, a modification of generalized rational exponential function method is employed. Some new trigonometric, exponential and hyperbolic stochastic solutions are obtained by using the modified generalized rational exponential function method (mGERFM). Furthermore, some graphs of the formulated solutions are presented to depict the physical configuration of stochastic solutions by changing the parameters. The method used in this research is effective, precise, competent, and reliable to compute the soliton solutions for nonlinear models. We predict that the performed results will have great potential applications to optical fibers, magneto-electrodynamics, the collision of heavy ions, and quantum mechanics.