Some novel analytical solutions of a new extented (2 + 1)-dimensional Boussinesq equation using a novel method

Abstract

There are many analytical methods for solving partial differential equations (PDEs), such as the ([Formula presented])-expansion, the Ricatti transformation method, and many more. In this manuscript, applying another analytical method, i.e., the ([Formula presented])-expansion approach, we find novel exact travelling wave solutions for the (2 + 1)-dimensional Boussinesq equation. Some new exact solutions for different cases are derived, which demonstrate the efficiency of the suggested approach and are used to describe the physical interpretation of nonlinear processes. The obtained solutions represent periodically solitary waves, which are simulated by Maple-18. © 2022