摘要
本文研究了低浓度三分子反应模型双曲型反应—扩散方程的稳定性和存在行波解的条件,并与抛物型反应—扩散方程的结果作了比较,显示了二者的区别,并改进了出现耗散结构时的B浓度值的范围;数值计算结果表明,随着反应—扩散数N的变化,在一定条件下方程能呈现化学振荡和混沌行为.
We theoretically analyse the stability and existence condition of traveling wave solution in the hyperbolic reaction-diffusion equation for the low-concentrational Brusselator. and we also compare the reaults of the hyperbolic equation with those of the parabolic equation. Then the nuymerical calculations are made. The numerical results show that the hyperbolic equation may exhibit the chemical oscillation and chaos under certain conditions with the variation of the parameter N.
