7 citations · 7 across the 1 of their papers we have counts for
3 papers
nlin.SI2003★ 7 cited
(Non)local Hamiltonian and symplectic structures, recursions, and hierarchies: a new approach and applications to the N=1 supersymmetric KdV equation
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky
Using methods of math.DG/0304245 and [I.S.Krasil'shchik and P.H.M.Kersten, Symmetries and recursion operators for classical and supersymmetric differential equations, Kluwer, 2000]…
nlin.SI2002
Deformation and Recursion for the N=2 Supersymmetric KdV-hierarchy
A. S. Sorin, P. H. M. Kersten
A detailed description is given for the construction of the deformation of the N=2 supersymmetric KdV-equation, leading to the recursion operator for symmetries and the zero-…
nlin.SI2000
Complete integrability of the coupled KdV-mKdV system
Paul Kersten, Joseph Krasil'shchik
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 r…