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The natural extension to PDEs of Lie's reduction of order algorithm for ODEs

dc.contributor.authorBluman, George W.
dc.contributor.authorRosa Silva, Rafael de la 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2025-02-18T08:31:02Z
dc.date.available2025-02-18T08:31:02Z
dc.date.issued2025
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10498/35481
dc.description.abstractn this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension of Lie's reduction of order algorithm for ordinary differential equations by looking at this algorithm from a different point of view. Many examples exhibit various situations that can arise.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceCommunications in Nonlinear Science and Numerical Simulation - 2025, Vol. 140es_ES
dc.subjectLie's reduction of order algorithmes_ES
dc.subjectNonlocal symmetrieses_ES
dc.subjectNonlocally related systemses_ES
dc.subjectSymmetry-based methodes_ES
dc.titleThe natural extension to PDEs of Lie's reduction of order algorithm for ODEses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/J.CNSNS.2024.108438
dc.type.hasVersionVoRes_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional