caa a22 4500 463196511 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10773-007-9378-2 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9378-2 Equivalence of Conservation Laws and Equivalence of Potential Systems [Elektronische Daten] [N. Ivanova, R. Popovych] 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 Mei and Zhang [Int. J. Theor. Phys. 45: 2095-2102, 2006]. Springer Science+Business Media, LLC, 2007 Ivanova N. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601, Kiev, Ukraine aut Popovych R. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601, Kiev, Ukraine aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2658-2668 0020-7748 46:10<2658 2007 46 10773 https://doi.org/10.1007/s10773-007-9378-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9378-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ivanova N. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601, Kiev, Ukraine aut NATIONALLICENCE 700 1- Popovych R. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601, Kiev, Ukraine aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2658-2668 0020-7748 46:10<2658 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer