Exact Solutions of the Saturable Discrete Nonlinear Schrodinger Equation

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dc.creatorKhare, Avinash
dc.creatorRasmussen, K. O.
dc.creatorSamuelsen, M. R.
dc.creatorSaxena, A.
dc.date2004-09-27
dc.date.accessioned2026-07-07T06:26:54Z
dc.date.available2026-07-07T06:26:54Z
dc.descriptionExact solutions to a nonlinear Schr{ö}dinger lattice with a saturable nonlinearity are reported. For finite lattices we find two different standing-wave-like solutions, and for an infinite lattice we find a localized soliton-like solution. The existence requirements and stability of these solutions are discussed, and we find that our solutions are linearly stable in most cases. We also show that the effective Peierls-Nabarro barrier potential is nonzero thereby indicating that this discrete model is quite likely nonintegrable.
dc.identifierhttps://arxiv.org/abs/nlin/0409057
dc.identifierhttp://arxiv.org/abs/nlin/0409057
dc.identifierJournal of Physics A (Mathematical and General), 38, 807-814 (2005)
dc.identifierdoi:10.1088/0305-4470/38/4/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97257
dc.subjectPattern Formation and Solitons
dc.subjectOther Condensed Matter
dc.titleExact Solutions of the Saturable Discrete Nonlinear Schrodinger Equation
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