The behavior of plasma and space-charge waves represented by nonlinear mathematical models

•In this study, traveling wave solutions are obtained by applying the modified exponential function method (MEFM) to the conformable time-fractional (3+1)-dimensional Zakharov-Kuznetsov (FZK) and the conformable time-fractional symmetric regularized long wave (SRLW) equations. In order to better understand the physical interpretations of the mathematical models represented by these two equations, 3D, contour, density and 2D graphics were plotted with the help of appropriate parameters. Thus, it has been shown that the modified exponential function method is effective in investigating the solutions of the conformable time-fractional (3+1)-dimensional FZK and the conformable time-fractional SRLW equations. the traveling wave solutions of the conformable fractional derivative FZK and SLRW equations and 3D, contour, density, and 2D graphics using the Mathematica program with appropriate parameters are included. Thus, the motions of the plasma and space-charge waves represented by these equations were observed.