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Linearization of fourth order ordinary differential equations by point transformations
Ansvarig organisation
2008 (Engelska)Ingår i: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 23, nr 41, s. 206-235Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

A general methodology for linearization of fourth order ordinary differential equations is developed using point transformations. The solution of the problem on linearization of fourth-order equations by means of point transformations is presented here. We show that all fourth-order equations that are linearizable by point transformations are contained in the class of equations which is linear in the third-order derivative. We provide the linearization test and describe the procedure for obtaining the linearizing transformations as well as the linearized equation. For ordinary differential equations of order greater than 4 we obtain necessary conditions, which separate all linearizable equations into two classes.

Ort, förlag, år, upplaga, sidor
IOP Publishers , 2008. Vol. 23, nr 41, s. 206-235
Nyckelord [en]
linearization of differential equations, contact transformations, Lie group analysis
Nationell ämneskategori
Matematik Matematisk analys
Identifikatorer
URN: urn:nbn:se:bth-7215Lokalt ID: oai:bth.se:forskinfo7340011600A6205AC12574A500343F01OAI: oai:DiVA.org:bth-7215DiVA, id: diva2:834797
Tillgänglig från: 2012-11-12 Skapad: 2008-08-14 Senast uppdaterad: 2017-12-04Bibliografiskt granskad

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