Reaction-diffusion systems and nonlinear waves

Details Reaction-diffusion systems and nonlinear waves Reaction-diffusion systems and nonlinear waves

2006-04-21

arxiv.org/abs/math/0604474v2

Astrophysics and Space Science 305(2006)297-303

Mathematics

Classical Analysis and ODEs

LaTeX, 16 pages, corrected typos

Scientific paper

10.1007/s10509-006-9190-0

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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