The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities

DOI10.1088/0951-7715/17/2/011zbMath1092.37050OpenAlexW2004731569WikidataQ59902018 ScholiaQ59902018MaRDI QIDQ4810810

Johannes Giannoulis, Alexander Mielke

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/2/011

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Multiple scale methods for ordinary differential equations (34E13) Lattice dynamics; integrable lattice equations (37K60)

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