TITLE:
The Prolongation Structures for the System of the Reaction-Diffusion Type
AUTHORS:
Xiaojuan Duan
KEYWORDS:
Prolongation Structure, Reaction-Diffusion, Realization, Abelian Covering
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.1,
January
24,
2017
ABSTRACT: 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.