Potential conservation laws

Roman Popovych, Michael Kunzinger

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We prove that potential conservation laws have characteristics depending only on local variables if and only if they are induced by local conservation laws. Therefore, characteristics of pure potential conservation laws have to essentially depend on potential variables. This statement provides a significant generalization of results of the recent paper by Bluman, Cheviakov and Ivanova [J. Math. Phys., 2006, V.47, 113505]. Moreover, we present extensions to gauged potential systems, Abelian and general coverings and general foliated systems of differential equations. An example illustrating possible applications of proved statements is considered. A special version of the Hadamard lemma for fiber bundles and the notions of weighted jet spaces are proposed as new tools for the investigation of potential conservation laws.
OriginalspracheEnglisch
Seitenumfang34
FachzeitschriftJournal of Mathematical Physics
Jahrgang49
Ausgabenummer10
PublikationsstatusVeröffentlicht - 2008

ÖFOS 2012

  • 1010 Mathematik

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