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-Reference-Cited by-同舟云学术

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

Published:2016-04 Issue:2 Volume:436 Page:847-867
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Düll Wolf-Patrick,Hermann Alina,Schneider Guido,Zimmermann Dominik

Funder

Deutsche Forschungsgemeinschaft

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

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2. Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity;Chong;ZAMM Z. Angew. Math. Mech.,2013

3. Photonic Crystals. Mathematical Analysis and Numerical Approximation;Dörfler,2011

4. Justification of the nonlinear Schrödinger equation for a resonant Boussinesq model;Düll;Indiana Univ. Math. J.,2006

5. Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2d surface water waves in a canal of finite depth;Düll;Arch. Ration. Mech. Anal.,2015

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