70 citations · 147 across the 7 of their papers we have counts for
7 papers
A geometrical demonstration for continuation of solutions of the generalised BBM equation
Priscila Leal da Silva, Igor Leite Freire
A simple proof that if the generalised BBM equation has a solution vanishing on an open sent of its domain then the solution is necessarily zero is given. In particular, the only c…
Integrability, existence of global solutions and wave breaking criteria for a generalization of the Camassa-Holm equation
Priscila Leal da Silva, Igor Leite Freire
Recent generalizations of the Camassa-Holm equation are studied from the point of view of existence of global solutions, criteria for wave breaking phenomena and integrability. We…
Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation
Priscila Leal da Silva, Igor Leite Freire
In this paper we consider a four-parameter equation including the Camassa-Holm and the Dulling-Gottwald-Holm equations, among others. We prove the existence and uniqueness of solut…
Peakon and kink solutions for a system of Holm-Staley equations
Priscila Leal da Silva, Igor Leite Freire
In this paper we consider a two-component system of the Holm-Staley equation with no stretching and a one-parameter nonlinearity in the convection term. Point symmetries are found,…
A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations
Stephen C. Anco, Priscila Leal da Silva, Igor Leite Freire
A 4-parameter polynomial family of equations generalizing the Camassa-Holm and Novikov equations that describe breaking waves is introduced. A classification of low-order conservat…
Strict self-adjointness and shallow water models
Priscila Leal da Silva, Igor Leite Freire
We consider a class of third order equations from the point of view of strict self-adjointness. Necessary and sufficient conditions to the investigated class be strictly self-adjoi…
Symmetry analysis of a class of autonomous even-order ordinary differential equations
Priscila Leal da Silva, Igor Leite Freire
A class of autonomous, even-order ordinary differential equations is discussed from the point of view of Lie symmetries. It is shown that for a certain power nonlinearity, the Noet…