Coupled KdV equations of Hirota-Satsuma type
solv-int
2016-09-08 v3 Mathematical Physics
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
It is shown that the system of two coupled Korteweg-de Vries equations passes the Painlev\'e test for integrability in nine distinct cases of its coefficients. The integrability of eight cases is verified by direct construction of Lax pairs, whereas for one case it remains unknown.
Keywords
Cite
@article{arxiv.solv-int/9901005,
title = {Coupled KdV equations of Hirota-Satsuma type},
author = {Sergei Yu. Sakovich},
journal= {arXiv preprint arXiv:solv-int/9901005},
year = {2016}
}