Infinitesimal symmetry transformations of matrix-valued differential equations: An algebraic approach

Autor:	Papachristou, C. J.
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Zdroj:	Nausivios Chora Vol. 7 (2018) pp. C31-C48 ; https://nausivios.hna.gr/docs/2018C3.pdf
Druh dokumentu:	Working Paper
Popis:	The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective with regard to finding infinitesimal symmetry transformations, they present certain conceptual difficulties in the case of matrix-valued PDEs; for example, the usual differential-operator representation of the symmetry-generating vector fields is not possible in this case. An algebraic approach to the symmetry problem of PDEs is described, based on abstract operators (characteristic derivatives) which admit a standard differential-operator representation in the case of scalar-valued PDEs. Comment: 17 pages; minor corrections; see also arXiv:0803.3688
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.06303 Zobrazit plný text záznamu View this record from Arxiv