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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0606020 (nlin)
[Submitted on 7 Jun 2006]

Title:Discrete Breathers in Two-Dimensional Anisotropic Nonlinear Schrodinger lattices

Authors:J. Gomez-Gardenes, L.M. Floria, A.R. Bishop
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Abstract: We study the structure and stability of discrete breathers (both pinned and mobile) in two-dimensional nonlinear anisotropic Schrodinger lattices. Starting from a set of identical one-dimensional systems we develop the continuation of the localized pulses from the weakly coupled regime (strongly anisotropic) to the homogeneous one (isotropic). Mobile discrete breathers are seen to be a superposition of a localized mobile core and an extended background of two-dimensional nonlinear plane waves. This structure is in agreement with previous results on onedimensional breather mobility. The study of the stability of both pinned and mobile solutions is performed using standard Floquet analysis. Regimes of quasi-collapse are found for both types of solutions, while another kind of instability (responsible for the discrete breather fission) is found for mobile solutions. The development of such instabilities is studied, examining typical trajectories on the unstable nonlinear manifold.
Comments: 13 pages, 9 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:nlin/0606020 [nlin.PS]
  (or arXiv:nlin/0606020v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0606020
Journal reference: Physica D 216, 31 (2006)
Related DOI: https://doi.org/10.1016/j.physd.2005.12.017

Submission history

From: Jesus Gomez-Gardenes [view email]
[v1] Wed, 7 Jun 2006 11:23:38 UTC (510 KB)
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