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math.DG2024
On Third-Order Evolution Systems Describing Pseudo-Spherical or Spherical Surfaces
Filipe Kelmer
We consider a class of third-order evolution equations of the form \begin{equation*} \left\{ \begin{array}{l} \displaystyle u_{t}=F\left(x,t,u,u_x,u_{xx},u_{xxx},v,v_x,v_{xx},v_{xx…
math.DG2021★ 1 cited
On a class of systems of hyperbolic equations describing pseudo-spherical or spherical surfaces
Filipe Kelmer, Keti Tenenblat
We consider systems of partial differential equations of the form \begin{equation}\nonumber \left\{ \begin{array}{l} u_{xt}=F\left(u,u_x,v,v_x\right),\\ v_{xt}=G\left(u,u_x,v,v_x\r…