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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. doi:10.1088/0951-7715/17/1/014 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 |
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| Journal or Publication Title: | NONLINEARITY | ||||
| Publisher: | IOP PUBLISHING LTD | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | January 2004 | ||||
| Dates: |
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| Volume: | 17 | ||||
| Number: | 1 | ||||
| Number of Pages: | 23 | ||||
| Page Range: | pp. 229-251 | ||||
| DOI: | 10.1088/0951-7715/17/1/014 | ||||
| Publication Status: | Published |
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