A new approach to the Lenard-Magri scheme of integrability

Abstract

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.

20 pages

References in corpus (1)

• Non-local Poisson structures and applications to the theory of integrable systems

Cited by in corpus (4)

• On integrability of some bi-Hamiltonian two field systems of PDE
• MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $\mathcal{W}$-algebras
• Two-component integrable generalizations of Burgers equations with nondiagonal linearity
• Bi-Hamiltonian structures of WDVV-type