On Multi-dimensional Compactons
نویسندگان
چکیده
We study the two and three dimensional, N = 2, 3, nonlinear dispersive equation CN (m, a + b): ut + (u )x + [ ua∇2ub] x = 0 where the degeneration of the dispersion at ground state induces cylindrically and spherically symmetric compactons convected in 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.
منابع مشابه
Multidimensional compactons.
We study the two and three dimensional, N=2, 3, nonlinear dispersive equation CN(m,a+b): u(t)+(u(m))x + [u(a)inverted delta2ub]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 eme...
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