Singular and bright wave solutions for the local fractional (3+1)-dimensional Kadomtsev–Petviashvili model

In this work we deals with the fractional (3+1)-dimensional Kadomtsev-Petviaashvili equation. We utilize fractional traveling-wave transformation for the governing equation that translated into integer-order ordinary differential equation. We investigate the bifurcation of the equilibria for the dynamical system that corresponds to the inferred integer-order ordinary differential equation. Using ansatz method based on the hyperbolic functions we establish singular and bright wave solutions for the proposed equation. The physical naturally for the obtained solutions will be illustrated through 3D, 2D and contour plots for the inferred results at diverse choose parameters, as well as we consider the order of derivatives in various fractional orders.