53 citations · 372 across the 38 of their papers we have counts for
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Systems of conservation laws with third-order Hamiltonian structures
E. V. Ferapontov, M. V. Pavlov, R. F. Vitolo
We investigate -component systems of conservation laws that possess third-order Hamiltonian structures of differential-geometric type. The classification of such systems is redu…
Projective-geometric aspects of homogeneous third-order Hamiltonian operators
Eugene V. Ferapontov, Maxim V. Pavlov, Raffaele F. Vitolo
We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based on the correspondence with quadratic line complexes, a complete list of such oper…
A unified approach to computation of integrable structures
Iosif Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
We expose (without proofs) a unified computational approach to integrable structures (including recursion, Hamiltonian, and symplectic operators) based on geometrical theory of par…
On integrable structures for a generalized Monge-Ampere equation
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky +1
We consider a 3rd-order generalized Monge-Ampere equation u_yyy - u_xxy^2 + u_xxx u_xyy = 0 (which is closely related to the associativity equation in the 2-d topological field the…