Nonlinear Schrödinger lattices I: Stability of discrete solitons

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dc.creatorPelinovsky, D. E.
dc.creatorKevrekidis, P. G.
dc.creatorFrantzeskakis, D. J.
dc.date2004-10-07
dc.date2004-12-07
dc.date.accessioned2026-07-07T05:36:00Z
dc.date.available2026-07-07T05:36:00Z
dc.descriptionWe consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of {\em in-phase} or {\em anti-phase} excited nodes, separated by an arbitrary sequence of empty nodes. By using stability analysis, we prove that the discrete solitons are all unstable near the anti-continuum limit, except for the solitons, which consist of alternating anti-phase excited nodes. We classify analytically and confirm numerically the number of unstable eigenvalues associated with each family of the discrete solitons.
dc.description21 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/nlin/0410005
dc.identifierhttp://arxiv.org/abs/nlin/0410005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80847
dc.subjectPattern Formation and Solitons
dc.titleNonlinear Schrödinger lattices I: Stability of discrete solitons
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