Local conservation laws of second-order evolution equations

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dc.creatorPopovych, Roman O.
dc.creatorSamoilenko, Anatoly M.
dc.date2008-06-17
dc.date2008-08-06
dc.date.accessioned2026-07-07T09:54:40Z
dc.date.available2026-07-07T09:54:40Z
dc.descriptionGeneralizing results by Bryant and Griffiths [Duke Math. J., 1995, V.78, 531-676], we completely describe local conservation laws of second-order (1+1)-dimensional evolution equations up to contact equivalence. The possible dimensions of spaces of conservation laws prove to be 0, 1, 2 and infinity. The canonical forms of equations with respect to contact equivalence are found for all nonzero dimensions of spaces of conservation laws.
dc.description11 pages, minor corrections
dc.identifierhttps://arxiv.org/abs/0806.2765
dc.identifierhttp://arxiv.org/abs/0806.2765
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 362002
dc.identifierdoi:10.1088/1751-8113/41/36/362002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166402
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35K55; 35K57; 35A30
dc.titleLocal conservation laws of second-order evolution equations
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