39 citations · 308 across the 22 of their papers we have counts for
23 papers
Kinetic equation for soliton gas: integrable reductions
E. V. Ferapontov, M. V. Pavlov
Macroscopic dynamics of soliton gases can be analytically described by the thermodynamic limit of the Whitham equations, yielding an integro-differential kinetic equation for the d…
Second-order PDEs in 3D with Einstein-Weyl conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
Einstein-Weyl geometry is a triple (D,g,w), where D is a symmetric connection, [g] is a conformal structure and w is a covector such that: (i) connection D preserves the conformal…
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…
Integrable systems in 4D associated with sixfolds in Gr(4,6)
Boris Doubrov, Eugene Ferapontov, Boris Kruglikov +1
Let be the Grassmannian of -dimensional linear subspaces of an -dimensional vector space . A submanifold gives rise to a differential system…
On a class of integrable systems of Monge-Ampère type
Boris Doubrov, Eugene Ferapontov, Boris Kruglikov +1
We investigate a class of multi-dimensional two-component systems of Monge-Ampère type that can be viewed as generalisations of heavenly-type equations appearing in self-dual Ricci…
Towards the classification of homogeneous third-order Hamiltonian operators
E. V. Ferapontov, M. V. Pavlov, R. F. Vitolo
Let be a vector space of dimension . We demonstrate that -component third-order Hamiltonian operators of differential-geometric type are parametrised by the algebraic v…