Abstract
This research provides analytical insights in connection with the solutions of the Oregonator model, a refined iteration
of the iconic Belousov-Zhabotinsky (BZ) reaction problem. This chemical process, initially observed by B. P. Belousov
while replicating the Krebs cycle in vitro and later modified by Zhabotinsky using Fe-phenanthroline (ferroin), has
become a hallmark example of non-linear dynamics, chaos theory, and has parallels in various biological systems. Our
study systematically delves into the boundedness, regularity, and possible symmetries of weak solutions. We explore
traveling waves using the Tanh-method, alongside examining asymptotic solutions entrenched in self-similar forms and
exponential scaling leading to a Hamilton-Jacobi equation. This research emphasizes on mathematical arguments along with
the dynamics of the involved chemical concentrations. We provide new forms of analytical solutions showing them in a
comprehensive manner that connects with the interpretation of the Oregonator model and its broader implications in
chemical systems.
