On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
For certain class of perturbations of the equation , we prove the existence of change of coordinates, called quasi-Miura transformations, that reduce these perturbed equations to the unperturbed ones. As an application, we propose a criterion for the integrability of these equations.
Keywords
Cite
@article{arxiv.nlin/0510019,
title = {On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs},
author = {Si-Qi Liu and Youjin Zhang},
journal= {arXiv preprint arXiv:nlin/0510019},
year = {2009}
}
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23 pages