Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity

DOI10.1002/zamm.201200068zbMath1280.35133OpenAlexW2093998191MaRDI QIDQ2856971

Guido Schneider, Christopher Chong

Publication date: 31 October 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201200068

zbMATH Keywords

approximationquasilinear wave equationnumerical analysisnonlinear Schrodinger equationuniversal amplitude equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Justification of the 2D NLS equation for a fourth order nonlinear wave equation - quadratic resonances do not matter much in case of analytic initial conditions ⋮ Trigonometric integrators for quasilinear wave equations ⋮ Justification of the nonlinear Schrödinger approximation for a quasilinear Klein-Gordon equation ⋮ Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation ⋮ One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations

Cites Work

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