Integrability of a Non-autonomous Coupled KdV System
Exactly Solvable and Integrable Systems
2007-05-23 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The Painlev\'{e} property of coupled, non-autonomous Korteweg-de Vries (KdV) type of systems is studied. The conditions under which the systems pass the Painlev\'{e} test for integrability are obtained. For some of the integrable cases, exact solutions are given.
Keywords
Cite
@article{arxiv.nlin/0408001,
title = {Integrability of a Non-autonomous Coupled KdV System},
author = {Ayse Karasu and Tuba Kilic},
journal= {arXiv preprint arXiv:nlin/0408001},
year = {2007}
}
Comments
7 pages, 2 figures, to be published in IJMPC. For related figures, see http://www.metu.edu.tr/~akarasu/figures.html