Singular reduction operators in two dimensions

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dc.creatorKunzinger, Michael
dc.creatorPopovych, Roman O.
dc.date2008-08-26
dc.date2008-11-04
dc.date.accessioned2026-07-07T10:15:08Z
dc.date.available2026-07-07T10:15:08Z
dc.descriptionThe notion of singular reduction operators, i.e., of singular operators of nonclassical (conditional) symmetry, of partial differential equations in two independent variables is introduced. All possible reductions of these equations to first-order ODEs are are exhaustively described. As examples, properties of singular reduction operators of (1+1)-dimensional evolution and wave equations are studied. It is shown how to favourably enhance the derivation of nonclassical symmetries for this class by an in-depth prior study of the corresponding singular vector fields.
dc.description22 pages, minor corrections
dc.identifierhttps://arxiv.org/abs/0808.3577
dc.identifierhttp://arxiv.org/abs/0808.3577
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 505201, 24 pp
dc.identifierdoi:10.1088/1751-8113/41/50/505201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173082
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35A30, 35C05, 35K55, 35K55, 35L70
dc.titleSingular reduction operators in two dimensions
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