A class of third order partial differential equations describing spherical or pseudospherical surfaces

Diego Catalano Ferraioli, Tarcísio Castro Silva

Third order equations, which describe spherical surfaces (ss) or pseudospherical surfaces (pss), of the form \[ ν\,z_{t}-λ\,z_{xxt}=A(z,z_{x},z_{xx})\,z_{xxx}+B(z,z_{x},z_{xx}) \]…