Friesecke, G. and Matthies, K., 2003. Geometric solitary waves in a 2D mass-spring lattice. Discrete and Continuous Dynamical Systems - Series B, 3 (1), pp. 105-144.
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.
|Item Type ||Articles|
|Creators||Friesecke, G.and Matthies, K.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||frieseckematthiesnew.pdf: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series B following peer review. The definitive publisher-authenticated version Friesecke, G & Matthies, K 2003, 'Geometric solitary waves in a 2D mass-spring lattice' Discrete and Continuous Dynamical Systems - Series B, vol 3, no. 1, pp. 105. is available online at: http://dx.doi.org/10.3934/dcdsb.2003.3.105|
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