Fig. 2

Travelling front. Instance of a travelling front (blue) for the bump distribution. The threshold is shown in green. The red dot indicates the position \(x_{0}(t)\) where \(u(x_{0}(t),t)=h(x_{0}(t))\). Equation (9) was truncated after 64 terms per sum. Parameter values are \(A=\sqrt{2}\), \(B=2\), \(\alpha=0.5\), \(L=50\), \(\kappa=3\), \(\epsilon=0.05\) and \(h_{0}=0.3\)