74 citations · 131 across the 8 of their papers we have counts for
8 papers
Hamiltonian structures for general PDEs
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky +1
We sketch out a new geometric framework to construct Hamiltonian operators for generic, non-evolutionary partial differential equations. Examples on how the formalism works are pro…
A geometric study of the dispersionless Boussinesq type equation
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky
We discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney-Lax equation, being a system of equations of hydrodynamical type. This equation was discus…
(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]…
Hamiltonian operators and l*-coverings
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky
An efficient method to construct Hamiltonian structures for nonlinear evolution equations is described. It is based on the notions of variational Schouten bracket and l*-covering.…
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-…
Generalized WDVV equations for F4 pure N=2 Super-Yang-Mills theory
L. K. Hoevenaars, P. H. M. Kersten, R. Martini
An associative algebra of holomorphic differential forms is constructed associated with pure N=2 Super-Yang-Mills theory for the Lie algebra F4. Existence and associativity of this…