Multidimensional compactons

Philip Rosenau*, James M. Hyman, Martin Staley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the two and three dimensional, N=2, 3, nonlinear dispersive equation CN(m,a+b): ut+(um)x+[uaâ‡2ub]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.

Original languageEnglish
Article number024101
JournalPhysical Review Letters
Issue number2
StatePublished - 2007


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