LAUSR

This study uses crystal lattice theory and physicochemical characterization to show a number of correct wave solutions that are like the way plasma waves move. The nonlinear time–fractional Gilson–Pickering (GP) model has been addressed using two distinct analytical and numerical techniques. This model is used in crystal lattice theory and plasma physics to show how waves move, so it is a basic model for how waves move in one direction. Utilizing the modified rational and He’s variational iteration approximations in conjunction with the β–fractional derivative principles, we give the handled model fresh and precise solitary wave solutions. Various contour, three-dimensional, and two-dimensional graphs depict the determined outcomes. Compared to other recent studies, ours indicates the importance of this research area. The presented methods show how simple, direct, and effective they are and how they can be used with a wide range of nonlinear evolution equations.