Solitary and periodic wave solutions of the loaded Boussinesq and the loaded modified Boussinesq equation

In this article, we establish new traveling wave solutions for the loaded Boussinesq equation and modified by functional variable method. The performance of method is reliable effective gives exact solitary periodic its modifications. obtained via are expressed hyperbolic functions trigonometric functions. graphical representations some demonstrated to better understand their physical features, including bell-shaped solutions, singular soliton kink type. This presents a wider applicability handling nonlinear equations.