Equivalence transformations in the study of integrability
Exactly Solvable and Integrable Systems
2014-02-26 v2 Mathematical Physics
math.MP
Abstract
We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The procedure of finding the equivalence groupoid of a class of differential equations is described and then specified for the case of evolution equations. A class of fifth-order variable-coefficient KdV-like equations is studied within the framework suggested.
Cite
@article{arxiv.1308.5126,
title = {Equivalence transformations in the study of integrability},
author = {Olena O. Vaneeva and Roman O. Popovych and Christodoulos Sophocleous},
journal= {arXiv preprint arXiv:1308.5126},
year = {2014}
}
Comments
14 pages; the version accepted to Physica Scripta