Search results for "Extended nonlinear Schrodinger"

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Effects of nonlinearity and substrate’s deformability on modulation instability in NKG equation

2017

International audience; This article investigates combined effects of nonlinearities and substrate's deformability on modulational instability. For that, we consider a lattice model based on the nonlinear Klein-Gordon equation with an on-site potential of deformable shape. Such a consideration enables to broaden the description of energy-localization mechanisms in various physical systems. We consider the strong-coupling limit and employ semi-discrete approximation to show that nonlinear wave modulations can be described by an extended nonlinear Schrodinger equation containing a fourth-order dispersion component. The stability of modulation of carrier waves is scrutinized and the following …

Physical systemModulational instability01 natural sciencesInstability010309 opticssymbols.namesakeDeformable lattice0103 physical sciencesNumerical simulations[MATH]Mathematics [math]010306 general physicsDispersion (water waves)PropagationNonlinear Schrödinger equationPhysics[PHYS]Physics [physics]Numerical AnalysisApplied MathematicsMathematical analysisInstability domains and gains[PHYS.MECA]Physics [physics]/Mechanics [physics]DispersionNonlinear systemModulational instabilityAmplitudeClassical mechanicsModeling and SimulationExtended nonlinear SchrodingersymbolsLattice model (physics)

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