7 citations · 13 across the 3 of their papers we have counts for
3 papers
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…
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.SI2004
On a class of three-dimensional integrable Lagrangians
E. V. Ferapontov, K. R. Khusnutdinova, S. P. Tsarev
We characterize non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})…