15 citations · 103 across the 17 of their papers we have counts for
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Multidimensional multiplicative Poisson vertex algebras
Pengfei Yang, Matteo Casati
In this paper we introduce the notion of multidimensional multiplicative Poisson vertex algebra, the generalization of the notion of multiplicative Poisson vertex algebra to a diff…
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…
Multidimensional Integrable Deformations of Integrable PDEs
Matteo Casati, Danda Zhang
In a recent series of papers by Lou et al., it was conjectured that higher dimensional integrable equations may be constructed by utilizing some conservation laws of (1 + 1)-dimens…
Recursion and Hamiltonian operators for integrable nonabelian difference equations
Matteo Casati, Jing Ping Wang
In this paper, we carry out the algebraic study of integrable differential-difference equations whose field variables take values in an associative (but not commutative) algebra. W…