18 citations · 43 across the 7 of their papers we have counts for
8 papers
Integrable systems of the intermediate long wave type in 2+1 dimensions
B. Gormley, E. V. Ferapontov, V. S. Novikov +1
We classify 2+1 dimensional integrable systems with nonlocality of the intermediate long wave type. Links to the 2+1 dimensional waterbag system are established. Dimensional reduct…
Second-order PDEs in 4D with half-flat conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
We study second-order PDEs in 4D for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solutio…
Integrability of dispersionless Hirota type equations in 4D and the symplectic Monge-Ampere property
E. V. Ferapontov, B. Kruglikov, V. Novikov
We prove that integrability of a dispersionless Hirota type equation implies the symplectic Monge-Ampere property in any dimension . In 4D this yields a complete classifica…
On the integrability in Grassmann geometries: integrable systems associated with fourfolds Gr(3, 5)
Boris Doubrov, Eugene Ferapontov, Boris Kruglikov +1
We investigate dispersionless integrable systems in 3D associated with fourfolds in the Grassmannian Gr(3,5). Such systems appear in numerous applications in continuum mechanics, g…
Towards the classification of integrable differential-difference equations in 2 + 1 dimensions
E. V. Ferapontov, V. S. Novikov, I. Roustemoglou
We address the problem of classification of integrable differential-difference equations in 2+1 dimensions with one/two discrete variables. Our approach is based on the method of h…
Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions
E. V. Ferapontov, V. S. Novikov, N. M. Stoilov
We develop a theory of integrable dispersive deformations of 2+1 dimensional Hamiltonian systems of hydrodynamic type following the scheme proposed by Dubrovin and his collaborator…
On the classification of scalar evolutionary integrable equations in dimensions
V. S. Novikov, E. V. Ferapontov
We consider evolutionary equations of the form where is the nonlocality, and the right hand side is polynomial in the derivatives of and .…
Integrable equations in 2+1-dimensions: deformations of dispersionless limits
E. V. Ferapontov, A. Moro, V. S. Novikov
We classify integrable third order equations in 2+1 dimensions which generalize the examples of Kadomtsev-Petviashvili, Veselov-Novikov and Harry Dym equations. Our approach is bas…