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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0310027 (nlin)
[Submitted on 19 Oct 2003 (v1), last revised 17 May 2005 (this version, v3)]

Title:Effective Hamiltonian for traveling discrete breathers in the FPU chain

Authors:Michael Kastner, Jacques-Alexandre Sepulchre
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Abstract: For the Fermi-Pasta-Ulam chain, an effective Hamiltonian is constructed, describing the motion of approximate, weakly localized discrete breathers traveling along the chain. The velocity of these moving and localized vibrations can be estimated analytically as the group velocity of the corresponding wave packet. The Peierls-Nabarro barrier is estimated for strongly localized discrete breathers.
Comments: 15 pages, 4 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Condensed Matter (cond-mat)
Cite as: arXiv:nlin/0310027 [nlin.PS]
  (or arXiv:nlin/0310027v3 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0310027
Journal reference: Discrete and Continuous Dynamical Systems B 5, 719-734 (2005)

Submission history

From: Michael Kastner [view email]
[v1] Sun, 19 Oct 2003 13:07:40 UTC (122 KB)
[v2] Wed, 23 Feb 2005 10:30:56 UTC (125 KB)
[v3] Tue, 17 May 2005 14:13:00 UTC (125 KB)
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