One of the main purposes of quantum chromodynamics (QCD) is to understand the internal structure of hadrons in the non-perturbative region where quarks and gluons are confined within the hadrons. In this regime there are non-perturbative objects such as the form factors (FFs), the parton distribution functions (PDFs) and the generalized parton distribution functions (GPDs), being these functions the ones that encode important information about the internal structure of hadrons. In this work, we present a study of the internal structure of the particularly pseudoscalar mesons through an algebraic model based on a certain truncation of the Shwinger-Dyson equations. This algebraic model enables the analytical extraction of GPDs, PDFs and FFs within the framework of the light-front formalism finding a relationship between them and the respective light-front wave function (LFWF) and parton distribution amplitude (PDA) of an hadron. These latter functions are based on phenomenological parametrizations that have been invoked by experimental data with the future motivation to make predictions that we can compare with the experimental results from laboratories like the Jlab, HERA and the LHC.