Complete integrability of the coupled KdVmKdV system
Abstract
The coupled KdVmKdV 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:nlin/0010041
 Bibcode:
 2000nlin.....10041K
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Differential Geometry;
 Mathematics  Mathematical Physics