Second-order equations and local isometric immersions of pseudo-spherical surfaces

Nabil Kahouadji, Niky Kamran, Keti Tenenblat

We consider the class of differential equations that describe pseudo-spherical surfaces of the form $u\_t=F(u,u\_x,u\_xx)$ and $u\_xt=F(u,u\_x)$ given in Chern-Tenenblat \cite…