Travelling waves of iodate-arsenous-acid reaction with a constant electric field

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• 作者：Guirong Liu ; ^{lgr5791@sxu.edu.cn" class="auth_mail} ; Weiping Yan
• 关键词：Iodate-arsenous-acid reaction ; Constant electric field ; Reaction&ndash ; diffusion ; Travelling wave
• 刊名：Applied Mathematics and Computation
• 出版年：1 April, 2014
• 年：2014
• 卷：232
• 期：Complete
• 页码：27-38
• 全文大小：466 K

文摘

The effects of applying a constant electric field E to an iodate-arsenous-acid reaction of mixed order are considered, where the reacting species, A and B, are present. The resulting equations are studied in detail by obtaining conditions for the existence and nonexistence of travelling waves. By using a novel approach, explicit bounds and are derived such that there is a unique travelling wave of every speed and there does not exist any travelling wave of speed , where and are two functions of constant electric field E and D, the ratio of diffusion coefficients of the species A and B. Numerical simulations of the resulting equations confirm our main results.