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math-ph2019★ 38 cited
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…
math-ph2017
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,…