NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms

DOI10.1002/mana.201200325zbMath1311.35164OpenAlexW2105064807MaRDI QIDQ5177977

Wolf-Patrick Düll, Martina Chirilus-Bruckner, Guido Schneider

Publication date: 9 March 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200325

zbMATH Keywords

error estimatesquasilinear wave equationslow spatial and temporal modulations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Second-order quasilinear hyperbolic equations (35L72)

Related Items

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 ⋮ The NLS approximation for two dimensional deep gravity waves ⋮ One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations ⋮ Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation

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