Title: Derivation of a Riccati Form equation from the Klein-Gordon equation and its solution
Abstract: In this article, we explore the transformation of the Klein-Gordon equation, a second-order relativistic partial differential equation, into a Riccati equation. This transformation is achieved by assuming a specific form for the wave function and introducing a new function that allows us to rewrite the equation in the Riccati form. In the last part we try to solve the Riccati equation derived. The implications and applications of this transformation are discussed briefly.