  Fires in the one-dimensional Bak-Chen-Tang forest fire model propagate as
solitons, resembling shocks in Burgers turbulence. The branching of solitons,
creating new fires, is balanced by the pair-wise annihilation of oppositely
moving solitons. Two distinct, diverging length scales appear in the limit
where the growth rate of trees, $p$, vanishes. The width of the solitons, $w$,
diverges as a power law, $1/p$, while the average distance between solitons
diverges much faster as $ d \sim \exp({\pi}^2/12p)$.
