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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 | ||||
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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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