Exact Solutions of Boussinesq Equations By Hirota Direct Method

Boussinesq Equations (BSQ) are the focus of this article. First, we provide a basic overview of Hirota\'s D operator, which is used to build multi-soliton solutions for equations involving nonlinear evolution. After that, some details regarding fourth-order BSQ are provided, and we use Hirota\'s direct method to find a one-solution solution. Hirota\'s bilinear approach is also used to solve a class of sixth-order Boussinesq-like equations with nonlinear evolution. The outcomes verified that this approach requires complete integrability.