Linearization of fourth-order ordinary differential equations by point transformations
Classical Analysis and ODEs
2007-10-26 v2
Abstract
We present here the solution of the problem on linearization of fourth-order equations by means of point transformations. 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.
Cite
@article{arxiv.0710.4784,
title = {Linearization of fourth-order ordinary differential equations by point transformations},
author = {Nail H. Ibragimov and Sergey V. Meleshko and Supaporn Suksern},
journal= {arXiv preprint arXiv:0710.4784},
year = {2007}
}
Comments
19 pages