21 citations · 28 across the 5 of their papers we have counts for
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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.AP2023
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,…
math.AP2020★ 21 cited
Conserved quantities, continuation and compactly supported solutions of some shallow water models
Igor Leite Freire
A proof that strong solutions of the Dullin-Gottwald-Holm equation vanishing on an open set of the (1+1) space-time are identically zero is presented. In order to do it, we use a g…