Abstract
The existence of longitudinal solitary waves is shown for the Hamiltonian dynamics of a 2D elastic lattice of particles interacting via harmonic springs between nearest and next nearest neighbours. A contrasting nonexistence result for transversal solitary waves is given. The presence of the longitudinal waves is related to the two-dimensional geometry of the lattice which creates a universal overall anharmonicity.
| Original language | English |
|---|---|
| Pages (from-to) | 105-114 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2003 |
| Externally published | Yes |
Keywords
- Geometric nonlinearity
- Lattice dynamics
- Many-particle systems
- Solitary waves