| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 755820 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 9 Pages |
•The impact of a non-convex convection on formation of compactons is studied.•Particulars of convection crucially affect the compacton dynamics.•Both traveling and stationary compactons are possible.•Some compactons may form only for a bounded range of velocities.•Interaction of compactons may be close to elastic or undergo a fission process.
Using the model equation: ut±(u3-u2)x+(u3)xxx=0ut±(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.
