39 citations · 308 across the 22 of their papers we have counts for
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nlin.SI2002★ 39 cited
Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems
E. V. Ferapontov, M. V. Pavlov
Reciprocal transformations of Hamiltonian operators of hydrodynamic type are investigated. The transformed operators are generally nonlocal, possessing a number of remarkable algeb…
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…