Article citationsMore>>

Krasilshchik, I.S. and Vinogradov, A.M. (1984) Nonlocal Symmetries and the Theory of Coverings: An Addendum to A. M. Vinogradov’s ‘Local Symmetries and Conservation Laws? Acta Applicandae Mathematicae, 2, 79-96.
https://doi.org/10.1007/BF01405492

has been cited by the following article:

• 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.