Geometric solitary waves in a 2D mass-spring lattice | Zendy

Gero Friesecke | Zendy; Karsten Matthies | Zendy

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Geometric solitary waves in a 2D mass-spring lattice

Author(s) -

Gero Friesecke,

Karsten Matthies

Publication year - 2003

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2003.3.105

Subject(s) - anharmonicity , physics , lattice (music) , longitudinal wave , hamiltonian (control theory) , classical mechanics , geometry , condensed matter physics , quantum mechanics , wave propagation , mathematics , acoustics , mathematical optimization

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

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