15 citations · 33 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
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…