A new approach to the Lenard-Magri scheme of integrability
Alberto De Sole, Victor G. Kac, Refik Turhan
TL;DR
This paper introduces a novel method for the Lenard-Magri integrability scheme applicable to bi-Hamiltonian PDEs with a strongly skew-adjoint Poisson operator, enhancing the theoretical framework of integrability.
Contribution
It presents a new approach to the Lenard-Magri scheme specifically for bi-Hamiltonian PDEs involving a strongly skew-adjoint differential operator.
Findings
Developed a new theoretical framework for integrability
Extended the Lenard-Magri scheme to a broader class of operators
Provided insights into the structure of bi-Hamiltonian PDEs
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.
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Taxonomy
TopicsMathematical and Theoretical Analysis