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math.DG2026
Deformation of scalar generalized bi-Hamiltonian structure
Zhe Wang
We study the classification of scalar generalized bi-Hamiltonian structures with semisimple leading terms. As an application, we prove the existence of integrable viscous conservat…
math-ph2026
Generalised (bi-)Hamiltonian structures of hydrodynamic type and (bi-)flat F-manifolds
Paolo Lorenzoni, Zhe Wang
We introduce the notions of generalised (bi-)Hamiltonian structures which generalise naturally the (bi-)Hamiltonian structures of evolutionary partial differential equations. In th…