7 citations · 14 across the 3 of their papers we have counts for
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nlin.SI2007★ 15 cited
Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
E. V. Ferapontov, A. Moro, V. V. Sokolov
We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamilton…
nlin.SI2007★ 7 cited
Integrable Lagrangians and modular forms
E. V. Ferapontov, A. V. Odesskii
We investigate non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t}…
math.DG2007★ 7 cited
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian
E. V. Ferapontov, L. Hadjikos, K. R. Khusnutdinova
We investigate integrable second order equations of the form F(u_{xx}, u_{xy}, u_{yy}, u_{xt}, u_{yt}, u_{tt})=0. Familiar examples include the Boyer-Finley equation, the potential…