208 citations · 891 across the 46 of their papers we have counts for
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nlin.SI2001★ 10 cited
Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces
E. V. Ferapontov
Hydrodynamic surfaces are solutions of hydrodynamic type systems viewed as non-parametrized submanifolds of the hodograph space. We propose an invariant differential-geometric char…
math.DG2001★ 3 cited
Systems of conservation laws of Temple class, equations of associativity and linear congruences in projective space
S. I. Agafonov, E. V. Ferapontov
We propose a geometric correspondence between (a) linearly degenerate systems of conservation laws with rectilinear rarefaction curves and (b) congruences of lines in projective sp…
math.DG2001★ 1 cited
The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields
E. V. Ferapontov
We propose a twistor construction of surfaces in Lie sphere geometry based on the linear system which copies equations of Wilczynski's projective frame. In the particular case of L…