Mathematical modeling of electrochemical dynamics and related patterning processes was developed primarily for variants of the activator-inhibitor mechanism and focused more on electro-catalysis than electrodeposition. In addition, these phenomena are expressed mathematically generally by the reaction–diffusion model, instead artificially, it is the evaluation of reactive species as state concentrations as state variables for electrodeposition models. For the considered models, the exact solutions in the explicit form were not obtained literature to our knowledge. Our main aim is to fill this gap by revealing their exact solutions. Finally, the obtained results confirm that the considered solution procedure can be widely employed to find the solution and also capture some interesting and simulating consequences.

中文翻译：

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形态化学电沉积模型的分析结果

电化学动力学和相关构图过程的数学模型主要是针对活化剂-抑制剂机理的变体开发的，并且其重点更多地放在电催化而不是电沉积上。此外，这些现象通常由反应扩散模型以数学方式表示，而不是人为地表示，它是以状态浓度作为电沉积模型的状态变量来评估反应性物种。对于所考虑的模型，据我们所知，没有以显式形式获得确切的解决方案。我们的主要目的是通过揭示他们的确切解决方案来填补这一空白。最后，所获得的结果证实了所考虑的解决方案可以广泛地用于寻找解决方案，并且还可以捕获一些有趣的模拟结果。