6533b7d1fe1ef96bd125cb70
RESEARCH PRODUCT
From kinks to compactonlike kinks
S. DusuelM. RemoissenetP. Michauxsubject
PhysicsClassical mechanicsQuantum mechanicsStrong couplingLattice (group)Point (geometry)CompactonContinuum (set theory)Limit (mathematics)Nonlinear Sciences::Pattern Formation and SolitonsNonlinear couplingdescription
We show that, in the continuum limit, the generalized \ensuremath{\Phi}-four or double-well model with nonlinear coupling can exhibit compactonlike kink solutions for some specific velocity regimes and when the nonlinear coupling between pendulums is dominant. Our numerical simulations point out that the static compacton is stable and the dynamic compacton is unstable. Our study is extended to other topological systems where compacton solutions can also be found. A nice feature is that a mechanical analog of the double-well system can be constructed in the form of an experimental lattice of coupled pendulums, which, in the strong coupling limit, allows the observation of these entities.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-02-01 | Physical Review E |