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…