Effects of vorticity on the travelling waves of some shallow water two-component systems

@article{Dutykh2019EffectsOV,
  title={Effects of vorticity on the travelling waves of some shallow water two-component systems},
  author={Denys Dutykh and Delia Ionescu-Kruse},
  journal={Discrete \& Continuous Dynamical Systems - A},
  year={2019}
}
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… 

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TLDR
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