3 papers
math.DG2026
A look on equations describing pseudospherical surfaces
Igor Leite Freire
We revisit the notion of equations describing pseudospherical surfaces, starting from the works by Sasaki, whose roots were influenced by the AKNS system, the works by Chern and Te…
math.AP2025
Global and blow-up solutions for a non-local integrable equation with applications to geometry
Nilay Duruk Mutlubas, Igor Leite Freire
We establish the global existence of higher-order Sobolev solutions for a non-local integrable evolution equation arising in the study of pseudospherical surfaces and non-linear wa…
math.AP2024
Intrinsic geometry and wave-breaking phenomena in solutions of the Camassa-Holm equation
Igor Leite Freire
Pseudospherical surfaces determined by Cauchy problems involving the Camassa-Holm equation are considered herein. We study how global solutions influence the corresponding surface,…