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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | ||||
Publisher: | AMER INST MATHEMATICAL SCIENCES | ||||
ISSN: | 1531-3492 | ||||
Official Date: | February 2003 | ||||
Dates: |
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Volume: | 3 | ||||
Number: | 1 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 105-114 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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