39 citations · 308 across the 22 of their papers we have counts for
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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…
Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator
E. V. Ferapontov
The class of surfaces in 3-space possessing nontrivial deformations which preserve principal directions and principal curvatures (or, equivalently, the shape operator) was investig…
Links between different analytic descriptions of constant mean curvature surfaces
Eugene V. Ferapontov, Alfred M. Grundland
Transformations between different analytic descriptions of constant mean curvature (CMC) surfaces are established. In particular, it is demonstrated that the system \[ \begin{split…
Transformations of quasilinear systems originating from the projective theory of congruences
E. V. Ferapontov
We continue the investigation of the correspondence between systems of conservation laws and congruences of lines in projective space. Relationship between "additional" conservatio…
Surfaces with flat normal bundle: an explicit construction
E. V. Ferapontov
An explicit construction of surfaces with flat normal bundle in the Euclidean space (unit hypersphere) in terms of solutions of certain linear system is proposed. In the case of 3-…