Related Experiment Videos
Motion of compactonlike kinks.
P Tchofo Dinda1, T C Kofane, M Remoissenet
1Laboratoire de Physique, Université de Bourgogne, 9 Avenue Alain Savary, Boîk Postale 47870, 21078 Dijon, France.
Summary
Stable ballistic propagation of compactonlike kinks in discrete Klein-Gordon systems is hindered by lattice discreteness and linear coupling. Specific parameter regions are identified for stable propagation, and kink interactions are explored.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Mathematical physics
Background:
- Compactonlike kinks are localized nonlinear excitations.
- Discrete Klein-Gordon systems exhibit complex behaviors due to lattice effects.
- Ballistic propagation is a key characteristic of stable solitons.
Purpose of the Study:
- To analyze the stable ballistic propagation of compactonlike kinks.
- To investigate the impact of lattice discreteness and linear coupling.
- To identify parameter regimes for stable propagation and study kink interactions.
Main Methods:
- Numerical simulations of the discrete Klein-Gordon equation.
- Analysis of the compacton's frequency spectrum.
- Investigation of resonance phenomena between internal modes and phonons.
Main Results:
- Lattice discreteness and linear coupling destabilize compacton propagation.
- Lower-frequency internal modes resonate with phonon modes, causing instability.
- Specific parameter regions enabling stable ballistic propagation were determined.
- Interactions between compactonlike kinks were examined.
Conclusions:
- Compactonlike kink propagation is sensitive to discrete lattice effects.
- Understanding resonance conditions is crucial for stable nonlinear wave propagation.
- The study provides insights into controlling and utilizing these nonlinear excitations.