Complete integrability of the coupled KdV-mKdV system
Exactly Solvable and Integrable Systems
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
The coupled KdV-mKdV system arises as the classical part of one of superextensions of the KdV equation. For this system, we prove its complete integrability, i.e., existence of a recursion operator and of infinite series of symmetries.
Keywords
Cite
@article{arxiv.nlin/0010041,
title = {Complete integrability of the coupled KdV-mKdV system},
author = {Paul Kersten and Joseph Krasil'shchik},
journal= {arXiv preprint arXiv:nlin/0010041},
year = {2007}
}