From Newton's Cradle to the Discrete $p$-Schrödinger Equation

DOI10.1137/130924196zbMath1292.34008arXiv1306.2105OpenAlexW2018280372WikidataQ107099872 ScholiaQ107099872MaRDI QIDQ5397631

Guillaume James, Eric Dumas, Brigitte Bidégaray-Fesquet

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2105

zbMATH Keywords

multiple-scale analysisnonlinear latticebreatherdiscrete \(p\)-Schrödinger equationNewton's cradleHertzian interactions

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discrete version of topics in analysis (39A12) Multiple scale methods for ordinary differential equations (34E13) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) The dynamics of infinite particle systems (70F45) Nonlinear modes (70K75) Ordinary lattice differential equations (34A33)

Related Items (8)

Justification of the discrete nonlinear Schrödinger equation from a parametrically driven damped nonlinear Klein-Gordon equation and numerical comparisons ⋮ Travelling breathers and solitary waves in strongly nonlinear lattices ⋮ Breathers in oscillator chains with Hertzian interactions ⋮ Breather Solutions of the Discrete p-Schrödinger Equation ⋮ The discrete \(p\)-Schrödinger equations under the mixed boundary conditions on networks ⋮ Breather arrest in a chain of damped oscillators with Hertzian contact ⋮ Long-time stability of small FPU solitary waves ⋮ Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations

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