Exact Soliton Solutions for New (4+1)-Dimensional Nonlinear Partial Differential Equations by a New exp(φ(ξ))-Expansion Method

In this paper, we present a new two equations. The first equation is the (4 + 1)-dimensional Generalized Nonlinear Boussinesq Equation (G-NBE), and the second is the (4+1)-dimensional Generalized Camassa–Holm Kadomtsev–Petviashvili Equation (G-CH-KPE). We use a new exp(φ(ξ))-expansion method for solve our new equations. We determine a variety of exact solutions for each equation and expressed in terms of hyperbolic functions, trigonometric functions, exponential functions and rational functions.