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Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions
Ansvarlig organisasjon
2009 (engelsk)Inngår i: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 14, nr 9-10, s. 3537-3547Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Lie group analysis of nonlinear differential equations reveals existence of singularities provided by invariant solutions and invisible from the form of the equation in question. We call them internal singularities in contrast with external singularities manifested by the form of the equation. It is illustrated by way of examples that internal singularities are useful for analyzing a behaviour of solutions of nonlinear differential equations near external singularities.

sted, utgiver, år, opplag, sider
Elsevier Science , 2009. Vol. 14, nr 9-10, s. 3537-3547
Emneord [en]
Nonlinear equations, Lie group analysis, Internal and external singularities
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-7936DOI: 10.1016/j.cnsns.2009.01.025ISI: 000265712200007Lokal ID: oai:bth.se:forskinfo3D1EC3D5B7C211EDC125766A002C121DOAI: oai:DiVA.org:bth-7936DiVA, id: diva2:835613
Tilgjengelig fra: 2012-09-18 Laget: 2009-11-10 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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