21 citations · 28 across the 5 of their papers we have counts for
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math.DG2023★ 3 cited
Local isometric immersions and breakdown of manifolds determined by Cauchy problems of the Degasperis-Procesi equation
Igor Leite Freire
We prove that both local and non-local formulations of the Degasperis-Procesi equation possess a pseudospherical nature. As a result, solutions determined by Cauchy problems with n…
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.DG2023★ 4 cited
Existence and uniqueness of periodic pseudospherical surfaces emanating from Cauchy problems
Nilay Duruk Mutlubas, Igor Leite Freire
We study implications and consequences of well-posed solutions of Cauchy problems of a Novikov equation describing pseudospherical surfaces. We show that if the co-frame of dual on…