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math.AP2024
Global analytic solutions of a pseudospherical Novikov equation
Priscila Leal da Silva
In this paper we consider a Novikov equation, recently shown to describe pseudospherical surfaces, to extend some recent results of regularity of its solutions. By making use of th…
math-ph2024
An integrable pseudospherical equation with pseudo-peakon solutions
Priscila Leal da Silva, Igor Leite Freire, Nazime Sales Filho
We study an integrable equation whose solutions define a triad of one-forms describing a surface with Gaussian curvature -1. We identify a local group of diffeomorphisms that prese…