Local isometric immersions of pseudospherical surfaces described by a class of third order differential equations

Mingyue Guo, Zhenhua Shi

We discuss a specific type of pseudospherical surfaces defined by a class of third order differential equations, of the form $u_t-u_{xxt}=\hat{I}»u^2{u}_{xxx}+G(u,u_x,u_{xx})$, an…