Multidimensional compactons

We study the two and three dimensional, N = 2, 3, nonlinear dispersive equation C-N(m,a + b): u(t) + (u(m))(x) + [u(a)del(2)u(b)](x) = 0 where the degeneration of the dispersion at the ground state induces cylindrically and spherically symmetric compactons convected in the x direction. An initial pulse of bounded extent decomposes into a sequence of robust compactons. Colliding compactons seem to emerge from the interaction intact, or almost so.