Linearization of fourth-order ordinary differential equations by point transformations

Nail H. Ibragimov, Sergey V. Meleshko, Supaporn Suksern

Type: Article

Publication Date: 2008-05-19

Citations: 34

DOI: https://doi.org/10.1088/1751-8113/41/23/235206

Abstract

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.

Locations

arXiv (Cornell University) - View - PDF
Journal of Physics A Mathematical and Theoretical - View

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