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- W2949595433 abstract "In the present study we consider three two-component (integrable and non-integrable) systems which describe the propagation of shallow water waves on a constant shear current. Namely, we consider the two-component Camassa-Holm equations, the Zakharov-Ito system and the Kaup--Boussinesq equations all including constant vorticity effects. We analyze both solitary and periodic-type travelling waves using the simple and geometrically intuitive phase space analysis. We get the pulse-type solitary wave solutions and the front solitary wave solutions. For the Zakharov-Ito system we underline the occurrence of the pulse and anti-pulse solutions. The front wave solutions decay algebraically in the far field. For the Kaup-Boussinesq system, interesting analytical multi-pulsed travelling wave solutions are found." @default.
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- W2949595433 date "2019-01-01" @default.
- W2949595433 modified "2023-09-25" @default.
- W2949595433 title "Effects of vorticity on the travelling waves of some shallow water two-component systems" @default.
- W2949595433 doi "https://doi.org/10.3934/dcds.2019225" @default.
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