反应扩散系统与非线性波
Reaction-diffusion systems and nonlinear waves
摘要：
研究了与非线性波相关的非线性反应扩散方程的解。所讨论的方程比Manne、Hurd和Kenkre（2000）最近讨论的方程更一般。结果以简洁优美的形式表示为Mittag-Leffler函数和广义Mittag-Leffler函数，适合于数值计算.导出结果的重要性在于，许多结果分数反应，分数扩散，反常扩散问题，和分数电报方程分散在文献中可以导出，作为特殊情况下，在这篇文章中研究的结果。
英文摘要：
The authors investigate the solution of a nonlinear reaction-diffusion equation connected with nonlinear waves. The equation discussed is more general than the one discussed recently by Manne, Hurd, and Kenkre (2000). The results are presented in a compact and elegant form in terms of Mittag-Leffler functions and generalized Mittag-Leffler functions, which are suitable for numerical computation. The importance of the derived results lies in the fact that numerous results on fractional reaction, fractional diffusion, anomalous diffusion problems, and fractional telegraph equations scattered in the literature can be derived, as special cases, of the results investigated in this article.
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