【摘要】 讨论了著名的Belousov-Zhabotinskii化学反应的一些数学模型的单调和非单调行波解的存在性。对波前解来说,证明了对一个简单模型找到的临界波速c₀=（1-r）^-2/1是最小波速。对于较为复杂一点的模型,应用Kozjakin VS和Krasnosel’skii M A得到的一个Hopf分歧定理,证明了周期行波解的存在性。更多还原

【Abstract】 The existence of monotone and nonmonotone traveling wave solutions for some simplified models of Belousov-Zhabotinskii chemical reaction is discussed . First-ly , the critical value of the wave speed found in a previous paper for a simplified model is proved to be the least wave speed . Secondly, using a Hopf bifurcation theorem developed by Kozjakin V S and Krasnosel’skii M A the existence of periodical traveling wave solutions for a more complicated model is proved .更多还原