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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…
math-ph2021★ 2 cited
Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
Si-Qi Liu, Zhe Wang, Youjin Zhang
For any semisimple Frobenius manifold, we prove that a tau-symmetric bihamiltonian deformation of its Principal Hierarchy admits an infinite family of linearizable Virasoro symmetr…