A Note on the Painleve Property of Coupled KdV Equations
Exactly Solvable and Integrable Systems
2014-02-21 v3 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove that one system of coupled KdV equations, claimed by Hirota, Hu, and Tang to pass the Painleve test for integrability, actually fails the test at the highest resonance of the generic branch and therefore must be non-integrable.
Cite
@article{arxiv.nlin/0402004,
title = {A Note on the Painleve Property of Coupled KdV Equations},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0402004},
year = {2014}
}
Comments
4 pages