15 citations · 33 across the 8 of their papers we have counts for
8 papers
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…
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…
Analytic regularity of global solutions for the b-equation
Priscila Leal da Silva
In this paper, we delve into the -family of equations and explore regularity properties of its global solutions. Our findings reveal that, irrespective of the real choice of the…
Periodic and solitary wave solutions of the long wave-short wave Yajima-Oikawa-Newell model
Marcos Caso-Huerta, Antonio Degasperis, Priscila Leal da Silva +2
Models describing long wave-short wave resonant interactions have many physical applications from fluid dynamics to plasma physics. We consider here the Yajima-Oikawa-Newell (YON)…
Local well-posedness and global analyticity for solutions of a generalized 0-equation
Priscila Leal da Silva
In this work we study the Cauchy problem in Gevrey spaces for a generalized class of equations that contains the case of the -equation. For the generalized equation, we pr…
Existence, continuation, persistence and dynamics of solutions for a generalized 0-Holm-Staley equation
Priscila Leal da Silva, Igor Leite Freire
We consider a family of non-local evolution equations including the Holm-Staley equation. We show that the family considered does not posses compactly supported solutions as lo…
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation
Priscila Leal da Silva
In this paper we classify all bounded travelling wave solutions for the integrable Dullin-Gottwald-Holm equation. It is shown that it decomposes in two known cases: the Camassa-Hol…
A family of wave equations with some remarkable properties
Priscila Leal da Silva, Igor Leite Freire, Júlio Cesar Santos Sampaio
We consider a family of homogeneous nonlinear dispersive equations with two arbitrary parameters. Conservation laws are established from the point symmetries and imply that the who…