In this article, we present a modified strategy that combines the residual power series method with Laplace transformation and novel iterative technique for generating solution to fractional nonlinear Belousov–Zhabotinsky (BZ) system. The proposed techniques use Laurent in their development. new procedures’ advantages include accuracy speed obtaining exact/approximate solutions. suggested appro...

oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. in oscillating systems, the reaction is far from thermodynamic equilibrium. in these systems, at least one autocatalytic step is required. developing an instinctiv...

We present experiments on the synchronization of a dynamical, chemical process in an extended, flowing, fluid system. The oscillatory Belousov-Zhabotinsky chemical reaction is the process studied, and the flow is an annular chain of counterrotating vortices. Azimuthal motion of the vortices is controlled externally, enabling us to vary the type of transport. We find that oscillations of the Bel...

We report an example of subcritical wave instability in a model of a reaction-diffusion system and discuss the potential implications for localized patterns found in experiments on the Belousov-Zhabotinsky reaction in a microemulsion.

This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that...

In the Belousov-Zhabotinsky reaction-diffusion system dispersed in a newly developed water-in-oil aerosol OT/Span-20 microemulsion, the transition between standing waves and traveling waves is accompanied by a halving of the wavelength.

Turing structures, standing waves, oscillatory clusters, and accelerating waves have been found in the spatially extended Belousov-Zhabotinsky system dispersed in water droplets of a reverse AOT microemulsion. The variety of patterns is determined by the tunable microstructure of the medium, i.e., by the concentration and size of water droplets. We propose a simple model to describe this system.