%0 Journal Article %T The Prolongation Structures for the System of the Reaction-Diffusion Type %A Xiaojuan Duan %J Journal of Applied Mathematics and Physics %P 92-100 %@ 2327-4379 %D 2017 %I Scientific Research Publishing %R 10.4236/jamp.2017.51010 %X Equations of the reaction-diffusion type are very well known and have been extensively studied in many research areas. In this paper, the prolongation structures for the system of the reaction-diffusion type are investigated from theory of coverings. The realizations and the classifications of the one-dimensional coverings of the system are researched. And the corresponding conservation law of the one-dimensional Abelian coverings is concluded, which is closely connected with the symmetry of the system by Noether theorem. %K Prolongation Structure %K Reaction-Diffusion %K Realization %K Abelian Covering %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=73789