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Zhao, W.-Z., Li, M.-L., Qi, Y.-H. and Wu, K. (2005) Modified Heisenberg Ferromagnet Model and Integrable Equation. Communications in Theoretical Physics, 44, 415-419.
AUTHORS: Xiaojuan Duan
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.