On compactons induced by a non-convex convection

Philip Rosenau, Alexander Oron

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1329-1337
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number5
StatePublished - May 2014


  • Compacton
  • Convection
  • Nonlinear dispersion


Dive into the research topics of 'On compactons induced by a non-convex convection'. Together they form a unique fingerprint.

Cite this