NDLI: Equivalence of Conservation Laws and Equivalence of Potential Systems

Content Provider	Semantic Scholar
Author	Ivanova, N. M. Popovych, Roman O.
Copyright Year	2006
Abstract	We study conservation laws and potential symmetries of (systems of) differential equations applying equivalence relations generated by point transformations between the equations. A Fokker–Planck equation and the Burgers equation are considered as examples. Using reducibility of them to the one-dimensional linear heat equation, we construct complete hierarchies of local and potential conservation laws for them and describe, in some sense, all their potential symmetries. Known results on the subject are interpreted in the proposed framework. This paper is an extended comment on the paper of J.-q. Mei and H.-q. Zhang [Internat. J. Theoret. Phys., 2006, in press].
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.mat.univie.ac.at/~esiprpr/esi1885.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math-ph/0611032v2.pdf
Alternate Webpage(s)	http://www.esi.ac.at/preprints/esi1885.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math-ph/0611032v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Emoticon Generalization (Psychology) LU decomposition Mathematics Navier–Stokes equations Non-maskable interrupt Parabolic antenna Solutions Turing completeness cell transformation
Content Type	Text
Resource Type	Article

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