Interaction of modulated pulses in scalar multidimensional nonlinear lattices

DOI10.1080/00036811003649124zbMath1193.37099arXiv0902.1776OpenAlexW2046107153WikidataQ58128811 ScholiaQ58128811MaRDI QIDQ3584656

Johannes Giannoulis

Publication date: 30 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1776

zbMATH Keywords

nonlinear discrete latticesderivation and justification of macroscopic dynamicsinteraction of modulated pulsesmultiscale ansatz

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Multiple scale methods for ordinary differential equations (34E13) Lattice dynamics; integrable lattice equations (37K60) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) The dynamics of infinite particle systems (70F45)

Related Items

Interaction of modulated gravity water waves of finite depth ⋮ Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential

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