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math-ph2024
Multi-component Hamiltonian difference operators
Matteo Casati, Daniele Valeri
In this paper we study local Hamiltonian operators for multi-component evolutionary differential-difference equations. We address two main problems: the first one is the classifica…
nlin.SI2024★ 2 cited
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
Xin Hu, Matteo Casati
In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the co…