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

Author:

Chirilus-Bruckner Martina1,Düll Wolf-Patrick2,Schneider Guido2

Affiliation:

1. Applied Mathematics; Brown University; 182 George Street Providence, RI 02912 USA

2. IADM; Universität Stuttgart; Pfaffenwaldring 57 70569 Stuttgart Germany

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

General Mathematics

Reference17 articles.

1. W.-P. Düll G. Schneider C. E. Wayne Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. Preprint. 2013 Submitted for publication

2. Asymptotic decay of a one-dimensional wave packet in a nonlinear dispersive medium;Kalyakin;Sb. Math.,1988

3. The validity of modulation equations for extended systems with cubic nonlinearities;Kirrmann;Proc. Roy. Soc. Edinburgh Sect. A,1992

4. Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations;Machihara;Math. Ann.,2002

5. From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations;Masmoudi;Math. Ann.,2002

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