Linearization of fourth order ordinary differential equations by point transformations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2008 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 23, no 41, 206-235 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
IOP Publishers , 2008. Vol. 23, no 41, 206-235 p.
linearization of differential equations, contact transformations, Lie group analysis
Mathematics Mathematical Analysis
IdentifiersURN: urn:nbn:se:bth-7215Local ID: oai:bth.se:forskinfo7340011600A6205AC12574A500343F01OAI: oai:DiVA.org:bth-7215DiVA: diva2:834797