Justification of the Nonlinear Schrödinger Approximation for a Quasilinear Klein–Gordon Equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/article/10.1007/s00220-017-2966-y/fulltext.html
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2. Chirilus-Bruckner M., Düll W.-P., Schneider G. (2015) NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms. Math. Nachr. 288(2-3): 158–166
3. Chong C., Schneider G. (2013) Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity. ZAMM Z. Angew. Math. Mech. 93(9): 688–696
4. Düll W.-P. (2012) Validity of the Korteweg–de Vries approximation for the two-dimensional water wave problem in the arc length formulation. Commun. Pure Appl. Math. 65(3): 381–429
5. Düll W.-P., Hermann A., Schneider G., Zimmermann D. (2016) Justification of the 2D NLS equation–Quadratic resonances do not matter in case of analytic initial conditions. J. Math. Anal. Appl. 436: 847–867
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