Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 192, Issue 1, Pages 165-186Publisher
SPRINGER
DOI: 10.1007/s00205-008-0128-2
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In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin-Bona-Mahoney and Korteweg-de Vries equations. In particular, they accommodate wave breaking phenomena.
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