6 citations · 7 across the 3 of their papers we have counts for
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nlin.SI2004★ 6 cited
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…
nlin.SI2002
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…
nlin.SI2002★ 1 cited
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…