Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy

被引：80

作者：

Friesecke, G ^{[1
]}

Pego, RL

机构：

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

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

来源：

NONLINEARITY | 2004年 / 17卷 / 01期

关键词：

D O I：

10.1088/0951-7715/17/1/014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the long-time stability of low-energy solitary waves in one-dimensional nonintegrable lattices with Hamiltonian H = Sigma(jis an element ofZ)((1)/(2)p(j)(2) + V(q(j+1) - q(j))) with a general nearest-neighbour potential V. As a corollary we obtain a recurrence theorem related to numerical observations by Fermi, Pasta and Ulam.

引用

页码：229 / 251

页数：23

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