The Painlev\'e Test of Higher Dimensional KdV Equation
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
We argue the integrability of the generalized KdV(GKdV) equation using the Painlev\'e test. For dimensional space, GKdV equation passes the Painlev\'e test but does not for dimensional space. We also apply the Ablowitz-Ramani-Segur's conjecture to the GKdV equation in order to complement the Painlev\'e test.
Keywords
Cite
@article{arxiv.solv-int/9605003,
title = {The Painlev\'e Test of Higher Dimensional KdV Equation},
author = {Yu. Song-Ju and T. Fukuyama},
journal= {arXiv preprint arXiv:solv-int/9605003},
year = {2008}
}
Comments
7 pages, LaTeX