Geometric solitary waves in a 2D mass-spring lattice

被引：0

作者：

Friesecke, G ^{[1
]}

Matthies, K ^{[1
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2003年 / 3卷 / 01期

关键词：

lattice dynamics; many-particle systems; solitary waves; geometric nonlinearity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：105 / 114

页数：10

共 10 条

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