Geometric solitary waves in a 2D mass-spring lattice

Gero Friesecke, Karsten Matthies

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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 languageEnglish
Pages (from-to)105-144
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume3
Issue number1
DOIs
Publication statusPublished - Feb 2003

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