A. A. Alazman, J. P. Albert, J. L. Bona, M. Chen, and J. Wu, Comparisons between the BBM equation and a Boussinesq system, Adv. Diff. Eq, vol.11, issue.2, pp.121-166, 2006.

J. P. Albert and J. L. Bona, Comparisons between model equations for long waves, Journal of Nonlinear Science, vol.47, issue.3, pp.345-374, 1991.
DOI : 10.1007/BF01238818

T. B. Benjamin, J. L. Bona, and J. J. Mahony, Model Equations for Long Waves in Nonlinear Dispersive Systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.272, issue.1220, pp.47-78, 1972.
DOI : 10.1098/rsta.1972.0032

J. L. Bona, M. Chen, and J. Saut, Boussinesq equations and other systems for smallamplitude long waves in nonlinear dispersive media I: Derivation and the linear theory, J. Nonlinear Sci, pp.12-283, 2002.

J. L. Bona, M. Chen, and J. Saut, Boussinesq equations and other systems for smallamplitude long waves in nonlinear dispersive media II: Nonlinear theory, Non-linearity, pp.17-925, 2004.

J. L. Bona, T. Colin, and D. Lannes, Long Wave Approximations for Water Waves, Archive for Rational Mechanics and Analysis, vol.12, issue.3, pp.373-410, 2005.
DOI : 10.1007/s00205-005-0378-1
URL : https://hal.archives-ouvertes.fr/hal-00258833

J. L. Bona, W. G. Pritchard, and L. R. Scott, A comparison of solutions of two model equations for long waves, in Fluid dynamics in astrophysics and geophysics, Lectures in Appl. Math., Amer. Math. Soc, vol.20, pp.235-267, 1981.

W. Craig, An existence theory for water waves, and Boussinesq and Korteweg-de Vries scaling limits, pp.787-1003, 1985.

G. Schneider and C. G. Wayne, The long-wave limit for the water wave problem I. The case of zero surface tension, Communications on Pure and Applied Mathematics, vol.15, issue.12, pp.1475-1535, 2000.
DOI : 10.1002/1097-0312(200012)53:12<1475::AID-CPA1>3.0.CO;2-V

J. D. Wright, Corrections to the KdV Approximation for Water Waves, SIAM Journal on Mathematical Analysis, vol.37, issue.4, pp.1161-1206, 2005.
DOI : 10.1137/S0036141004444202