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Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory

J. Bona, Min Chen, J. Saut

2002.8.1JOURNAL OF NONLINEAR SCIENCE

DOI: 10.1007/s00332-002-0466-4

tlooto Summary

In the present script, a four-parameter family of Boussinesq systems are derived from the two-dimensional Euler equations for free-surface flow and criteria are formulated to help decide which of these equations one might choose in a given modeling situation.

Abstract

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Citation format

BONA, J.; CHEN, Min; SAUT, J. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. i: Derivation and linear theory. JOURNAL OF NONLINEAR SCIENCE, 2002, 12: 283–318.