TY - JOUR
T1 - On compactons induced by a non-convex convection
AU - Rosenau, Philip
AU - Oron, Alexander
N1 - Funding Information:
The work of the second author (A.O) was supported in part by the US- Israel Binational Science Foundation (BSF) Grant 2008038 .
PY - 2014/5
Y1 - 2014/5
N2 - Using the model equation: ut±(u3-u2)x+(u3)xxx=0 we study the impact of a non-convex convection on formation of compactons. In the (+) version, both traveling and stationary compactons are observed, whereas in the (-) branch, compactons may form only for a bounded range of velocities. Depending on their relative speed, interaction of compactons may be close to being elastic or a fission process wherein the collision begets additional compactons.
AB - Using the model equation: ut±(u3-u2)x+(u3)xxx=0 we study the impact of a non-convex convection on formation of compactons. In the (+) version, both traveling and stationary compactons are observed, whereas in the (-) branch, compactons may form only for a bounded range of velocities. Depending on their relative speed, interaction of compactons may be close to being elastic or a fission process wherein the collision begets additional compactons.
KW - Compacton
KW - Convection
KW - Nonlinear dispersion
UR - http://www.scopus.com/inward/record.url?scp=84887827890&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2013.09.028
DO - 10.1016/j.cnsns.2013.09.028
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84887827890
SN - 1007-5704
VL - 19
SP - 1329
EP - 1337
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 5
ER -