We study the non-integrable φ 6 model on the half-line. The model has two topological sectors.We chose solutions from just one topological sector to fix the initial conditions. The scalar field satisfies a Neumann boundary condition φ x (0, t) = H. We study the scattering of a kink (antikinks) with all possible regular and stable boundaries. When H = 0 the results are the same observed for scattering for the same model in the full line. With the increasing of H, sensible modifications appear in the dynamics with of the defect with several possibilities for the output depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions.

We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter r. The scattering process of large kink-antikink shows the changing of the topological sector. For some parameter intervals we observed two connected effects: the production of multiple antikink-kink pairs and up to three solitary oscillations. The scattering process for small kink-antikink has several possibilities: the changing of the topological sector, one-bounce collision, two-bounce collision, or formation of a bion state. In particular, we observed for small values of rand velocities, the formation of false two-bounce windows and the suppression of true two-bounce windows, despite the presence of an internal shape mode.

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