Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation

In this article, (3+1)-dimensional generalized Shallow Water-like (gSWl) equation is discussed. The infinitesimal generators of the are derived by using Lie symmetry analysis method. optimal system obtained based on adjoint table equation. Exact solutions constructed applying reduction, Exp −ϕ(ξ) expansion method, Exp-function Riccati and id="m2">G′/G For analyzing dynamical behavior solutions, we derive physical structures dark soliton, kink wave, periodic via numerical simulations.