Emergence of Periodic Wave Solutions in a Diffusive Four-Component Brusselator Model
نویسندگان
1 Department of Mathematical and Physical Sciences, East West University, Dhaka, 1212, Bangladesh
2 Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, ~~~Tokyo, 164-8525, Japan//Mathematical and Computational Biology (MCB) Research Group, Department of Mathematics, Jahangirnagar University, Savar, Dhaka, 1342, Bangladesh
3 Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, ~~~Tokyo, 164-8525, Japan//Mathematical and Computational Biology (MCB) Research Group, Department of Mathematics, Jahangirnagar University, Savar, Dhaka, 1342, Bangladesh
doi
10.22052/ijmc.2025.255450.1905چکیده
In the kinetic theory of chemical processes, cyclic reactions play a significant role. This study addresses a four-component non-linear Brusselator reaction-diffusion model for cyclic reactions to investigate the existence of periodic wave solutions to the model. The local behavior of the non-diffusive model solutions is investigated first. Then, the existence and uniqueness of the solution in the diffusive model are discussed. Furthermore, the emergence of periodic wave solutions in the diffusive model is also analyzed analytically. To validate our theoretical investigation, we also perform some numerical simulations in one and two space dimensions of the diffusive model. To demonstrate the originality of this study, we conclude by summarizing our findings and drawing comparisons with previous research.
