6 citations · 7 across the 3 of their papers we have counts for
8 papers
Double waves in multi-dimensional systems of hydrodynamic type: a necessary condition for integrability
E. V. Ferapontov, K. R. Khusnutdinova
An invariant differential-geometric approach to the integrability of (2+1)-dimensional systems of hydrodynamic type u_t+A(u)u_x+B(u)u_y=0 is developed. It is proved that the existe…
Projective differential geometry of higher reductions of the two-dimensional Dirac equation
L. V. Bogdanov, E. V. Ferapontov
We investigate reductions of the two-dimensional Dirac equation imposed by the requirement of the existence of a differential operator of order mapping its eigenfunctions…
Decomposition of higher order equations of Monge-Ampere type
E. V. Ferapontov
Given a function f(x, t), its fourth (symmetric) differential is a quartic form in dx, dt. It is well-known that any quartic form in two variables can be represented as a sum of th…
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…
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-…