Left: Dependence of the wavespeed on the wavenumber with β = 9.5, κ = 0.9, θ = 0.3, τ = 7 and branches: 1 (blue), 2 (red), 4 (green). The spatial period has been divided by the wavenumber to illustrate that the additional branches start near the extrema. Inset shows that the green branch also emerges from an extremum. Right: The spatial arrangement of travelling pulses can be much more complex with one or more pulses grouped together. Colors correspond to the branches of the dispersion curve.