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Peakon and kink solutions for a system of $0-$Holm-Staley equations by da Silva, Priscila Leal; Freire, Igor Leite is a scholarly article available to read on EtoBox.
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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, conditions for the existence of multipeakon and multikink solutions are determined. Solutions for the 1-peakon and 1-kink are explicitly obtained and they exhibit a behaviour quite different of their analogous in the scalar equation.
- Author
- da Silva, Priscila Leal; Freire, Igor Leite
- Published
- 2017
- Language
- EN
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