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Geometric solitary waves in a 2D mass-spring lattice

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UNSPECIFIED (2003) Geometric solitary waves in a 2D mass-spring lattice. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 3 (1). pp. 105-114. ISSN 1531-3492

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Publisher: AMER INST MATHEMATICAL SCIENCES
ISSN: 1531-3492
Date: February 2003
Volume: 3
Number: 1
Number of Pages: 10
Page Range: pp. 105-114
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/10086

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