ABSTRACT
In the last decade, many scientists have focused on the mathematical and physical models of real-world problems for a long time. Therefore, some important properties of these evaluation equations have been submitted to the literature to understand the physical phenomena of nonlinear sciences. Special forms of traveling wave solutions may depend only on single independent variables such as soliton, complex, and hyperbolic solutions. Van Nghi Vu et al. have have developed a mathematical model as an Extended Boussinesq Model for seeking the propagation of waves in porous media. The Boussinesq equation is used to describe the motion of water with small amplitude and long wave. Another type of Boussinesq equation is the Wick-type stochastic modified Boussinesq equation considered by S. Saha Ray and S. Singh. In this chapter, the authors investigate complex, trigonometric, hyperbolic, and solitary wave solutions of an important model of the (2+1)-dimensional Boussinesq dynamical equation by successfully applying the algorithm of Modified Exponential Function Method.
