Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities

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dc.creatorKhare, Avinash
dc.creatorRasmussen, Kim Ø.
dc.creatorSalerno, Mario
dc.creatorSamuelsen, Mogens R.
dc.creatorSaxena, Avadh
dc.date2006-03-15
dc.date2006-03-20
dc.date.accessioned2026-07-07T07:07:28Z
dc.date.available2026-07-07T07:07:28Z
dc.descriptionA class of discrete nonlinear Schrodinger equations with arbitrarily high order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different Poisson brackets and include as particular cases the saturable discrete nonlinear Schrodinger equation and the Ablowitz-Ladik equation. As a common property, these equations possess three kinds of exact analytical stationary solutions for which the Peierls-Nabarro barrier is zero. Several properties of these solutions, including stability, discrete breathers and moving solutions, are investigated.
dc.identifierhttps://arxiv.org/abs/nlin/0603034
dc.identifierhttp://arxiv.org/abs/nlin/0603034
dc.identifierPhys. Rev. E 74, 16607 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.016607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110400
dc.subjectPattern Formation and Solitons
dc.subjectOther Condensed Matter
dc.titleDiscrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities
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