Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation
Author:
Affiliation:
1. Loughborough University
2. McMaster University
Publisher
Wiley
Subject
Applied Mathematics
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1111/sapm.12034/fullpdf
Reference45 articles.
1. An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits;Craig;Comm. PDEs,1985
2. The long wave limit for a Boussinesq equation;Schneider;SIAM J. Appl. Math.,1998
3. The long wave limit for the water wave problem I. The case of zero surface tension;Schneider;Comm. Pure Appl. Math.,2000
4. The rigorous approximation of long-wavelength capillary-gravity waves;Schneider;Arch. Rational Mech. Anal.,2002
5. Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems;Ben Youssef;Math. Model. Numer. Anal.,2000
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