TY - JOUR
T1 - Multidimensional compactons
AU - Rosenau, Philip
AU - Hyman, James M.
AU - Staley, Martin
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33846399208&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.98.024101
DO - 10.1103/PhysRevLett.98.024101
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AN - SCOPUS:33846399208
SN - 0031-9007
VL - 98
JO - Physical Review Letters
JF - Physical Review Letters
IS - 2
M1 - 024101
ER -