Fig. 12.

Simulation of the non-conservative model (NC) with a, b default parameters (Table 4 (NC)), corresponding to the unstable Regime III as identified in the bifurcation diagram Fig. 6; c, d $\gamma =15L^2,\eta =15L^2$, which corresponds to the polarizable Regime II. Initial condition: a, b $u=u_{\ast }$ except $u=1$ on $0\le x\le 0.1$, $v=v_{\ast }$. c, d $u=u_{\ast }=0.33333$ except $u=10u_{\ast }$ on $0.4\le x\le 0.41$, $v=v_{\ast }=3.19298$. In a, b, the formation of a peak on the left triggers some new peaks farther away, until space runs out. Once all peaks form, they shift slightly to be evenly spaced. In c, d, the single initial peak persists, without triggering new peaks. We refer to this as the soliton solution