Search results for "uinti"

showing 10 items of 60 documents

Dipole soliton solution for the homogeneous high-order nonlinear Schrödinger equation with cubic–quintic–septic non-Kerr terms

2015

Abstract We consider a high-order nonlinear Schrodinger equation with third- and fourth-order dispersions, cubic–quintic–septic nonlinearities, self-steepening, and instantaneous Raman response. This equation models describes ultra-short optical pulse propagation in highly-nonlinear media. The ansatz solution of Choudhuri and Porsezian (in Ref. [16]) is adapted to investigate solutions composed of the product of bright and dark solitary waves. Parametric conditions for the existence of the derived soliton solutions are given and their stabilities are numerically discussed. These exact solutions provide insight into balance mechanisms between several high-order nonlinearities of different na…

PhysicsApplied MathematicsSoliton (optics)Quintic functionDipolesymbols.namesakeClassical mechanicsModeling and SimulationProduct (mathematics)Quantum mechanicssymbolsRaman spectroscopyNonlinear Schrödinger equationParametric statisticsAnsatzApplied Mathematical Modelling
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Multipole solitary wave solutions of the higher-order nonlinear Schrödinger equation with quintic non-Kerr terms

2013

We consider a high-order nonlinear Schrodinger (HNLS) equation with third- and fourth-order dispersions, quintic non-Kerr terms, self steepening, and self-frequency-shift effects. The model applies to the description of ultrashort optical pulse propagation in highly nonlinear media. We propose a complex envelope function ansatz composed of single bright, single dark and the product of bright and dark solitary waves that allows us to obtain analytically different shapes of solitary wave solutions. Parametric conditions for the existence and uniqueness of such solitary waves are presented. The solutions comprise fundamental solitons, kink and anti-kink solitons, W-shaped, dipole, tripole, and…

PhysicsDirect numerical simulationAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsQuintic functionDipoleNonlinear systemsymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsClassical mechanicssymbolsUniquenessElectrical and Electronic EngineeringPhysical and Theoretical ChemistryMultipole expansionNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationAnsatzOptics Communications
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Stabilization of 1D solitons by fractional derivatives in systems with quintic nonlinearity

2022

AbstractWe study theoretically the properties of a soliton solution of the fractional Schrödinger equation with quintic nonlinearity. Under “fractional” we understand the Schrödinger equation, where ordinary Laplacian (second spatial derivative in 1D) is substituted by its fractional counterpart with Lévy index $$\alpha$$ α . We speculate that the latter substitution corresponds to phenomenological account for disorder in a system. Using analytical (variational and perturbative) and numerical arguments, we have shown that while in the case of Schrödinger equation with the ordinary Laplacian (corresponding to Lévy index $$\alpha =2$$ α = 2 ), the soliton is unstable, even infinitesimal diffe…

PhysicsMultidisciplinaryQuintic nonlinearityScienceQRBose-Einstein condensatesNonlinear phenomenaSolitonsArticleFractional calculusMedicineNonlinear Sciences::Pattern Formation and SolitonsMathematical physicsScientific Reports
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A Characterization of Quintic Helices

2005

A polynomial curve of degree 5, @a, is a helix if and only if both @[email protected]^'@? and @[email protected]^'@[email protected]^''@? are polynomial functions.

PolynomialTheorem of LancreteducationComputingMilieux_LEGALASPECTSOFCOMPUTINGCharacterization (mathematics)behavioral disciplines and activitiesMathematics::Algebraic TopologyCombinatoricsMathematics - Geometric TopologyTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYhealth services administrationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: Mathematicshealth care economics and organizationsMathematicsPhysics::Biological PhysicsQuantitative Biology::BiomoleculesDegree (graph theory)InformationSystems_INFORMATIONSYSTEMSAPPLICATIONSApplied MathematicsMathematical analysisGeometric Topology (math.GT)Pythagorean hodograph curveshumanitiesQuintic functionComputational MathematicsGeneralized polynomial helices
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Quantum potero voce contendam. La pro Ligario di Cicerone nel giudizio di Quintiliano

2019

The paper analyses one of the last voices of the Ciceronian oratory, the Pro Ligario. After a reconstruction of the context in which the oration was produced, the attention is focused on the reception of the text by Quintilian, who on several occasions in the Institutio oratoria shows particular interest for the multiple problems connected to it, identifying the peculiar characteristics.

Pro Ligario CaesarQuintilianCiceroSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Le declamazioni minori attribuite a Quintiliano I (244-292)

2019

The volume includes a textual revision, the first Italian translation and a commentary on the Minor Declamations 244-292 ascribed to Quintilian. The commentary, non only addresses the many critical issues posed by a particularly complex text, but also exploits the results of the strand studies on declamation that has been flourished in the last 20 years involving rhetorical as well as literary and anthropological perspective. The introductory essay by Lucia Pasetti (coordinator of the PRIN project supporting the research) focuses on the issues of textual typology and relationship with literary and juridical tradition and addresses the thorny question of Quintilian authorship. Il volume cont…

Ps. Quintiliandeclamationes minoresretorica Quintiliano declamazione scuola anticaSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Le Declamazioni Minori dello Pseudo-Quintiliano. Discorsi immaginari tra letteratura e diritto

2016

Dedicated to the Minor Declamations ascribed to Quintilian, this volume explores different aspects of this ancient school book: a manual introducing the reader to the daily work of a master rhetorician, as well as an instrument to explore ancient imagery and the close relationship connecting rhetoric, literature and law

Pseud. QuintilianPseudo-QuintilianodeclamationrhetoricdeclamazioniretoricaSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Ps. Quint. decl. min. 277: testo, traduzione e commento

2019

Testo rivisto, traduzione, commento di Ps. Quint. declamatio minor 277

Pseudo Quintilianodeclamatio minorretoricaSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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Un problematico esempio di amphibolia in Quint. inst. 7, 9, 11

2015

Nell’articolo, a proposito di Quint. inst. 7, 9, 11, si propone di mantenere la lezione nunc dei manoscritti e si evidenziano i punti di criticità della congettura di Badius e dell’emendamento di Spalding.

Quintilian; amphibolia; Textual criticism; Emendation; ConjectureQuintilianTextual criticismConjectureEmendationSettore L-FIL-LET/04 - Lingua E Letteratura Latinaamphibolia
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Un modello per la retorica: la presenza di Virgilio nell’Institutio Oratoria di Quintiliano

2022

L’article analyse la présence de citations de Virgile dans l’Institution Oratoire de Quintilien. La présence de Virgile dans l’œuvre de Quintilien est l’un des premiers témoignages de la diffusion de la production du poète mantouan dans les pratiques scolaires, avec une nette préférence pour la doctrine relative à l’elocutio mais aussi, comme on peut le voir dans Inst. Or. 12.1.25, pour la revendication du rôle fondamental de l’orateur dans la société romaine.

Quintilien Virgile citations rhétorique elocutioSettore L-FIL-LET/04 - Lingua E Letteratura Latina
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