103 citations · 105 across the 2 of their papers we have counts for
2 papers
math-ph2009★ 103 cited
Poisson vertex algebras in the theory of Hamiltonian equations
Aliaa Barakat, Alberto De Sole, Victor G. Kac
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to integrability of Hamiltonian partial differential equations. Such an equation is c…
math.DG2006★ 2 cited
On the moduli space of deformations of bihamiltonian hierarchies of hydrodynamic type
Aliaa Barakat
We investigate the deformation theory of the simplest bihamiltonian structure of hydrodynamic type, that of the dispersionless KdV hierarchy. We prove that all of its deformations…