15 citations · 103 across the 17 of their papers we have counts for
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math.DG2015★ 13 cited
Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
Guido Carlet, Matteo Casati, Sergey Shadrin
We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin-Novikov type with independent variables. We find that the second and third cohomology groups are gener…
math-ph2015★ 4 cited
Dispersive deformations of the Hamiltonian structure of Euler's equations
Matteo Casati
Euler's equations for a two-dimensional system can be written in Hamiltonian form, where the Poisson bracket is the Lie-Poisson bracket associated to the Lie algebra of divergence…