Surfaces of a Constant Negative Curvature

On the well-posedness of the exp-Rabelo equation

“…Taking β = 0, γ = −1, and substituting (1.10), and (1.12) in (1.1), we get 13) which is known as the exp-Rabelo equation (see [12,28]), and describes pseudo-spherical surfaces with constant negative curvature. Our aim is to investigate the well-posedness for the initial value problem in classes of discontinuous functions for (1.13).…”

On Differential Equations Derived from the Pseudospherical Surfaces

“…Fourthly, they pass the Painlevé test [18]. Furthermore they describe pseudospherical surfaces, that is, surfaces of constant negative Gaussian curvature [19,20].…”