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Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy
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UNSPECIFIED. (2004) Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy. NONLINEARITY, 17 (1). pp. 229-251. ISSN 0951-7715
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Official URL: http://dx.doi.org/10.1088/0951-7715/17/1/014
Abstract
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | NONLINEARITY |
| Publisher: | IOP PUBLISHING LTD |
| ISSN: | 0951-7715 |
| Official Date: | January 2004 |
| Volume: | 17 |
| Number: | 1 |
| Number of Pages: | 23 |
| Page Range: | pp. 229-251 |
| Identification Number: | 10.1088/0951-7715/17/1/014 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8813 |
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