Emergence of Periodic Wave Solutions in a Diffusive Four-Component Brusselator Model

Document Type : Research Paper

Authors

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

10.22052/ijmc.2025.255450.1905

Abstract

‎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.

Keywords

Main Subjects

References

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Iranian Journal of Mathematical Chemistry
Volume 16, Issue 4
In Progress
December 2025
Pages 275-289

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