262 citations · 3.5k across the 155 of their papers we have counts for
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math-ph2013★ 7 cited
A new approach to the Lenard-Magri scheme of integrability
Alberto De Sole, Victor G. Kac, Refik Turhan
We develop a new approach to the Lenard-Magri scheme of integrability of bi-Hamiltonian PDE's, when one of the Poisson structures is a strongly skew-adjoint differential operator.
math-ph2013★ 38 cited
Non-local Poisson structures and applications to the theory of integrable systems
Alberto De Sole, Victor G. Kac
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applic…