The Hydrodynamical Relevance of the Camassa-Holm and Degasperis-Procesi Equations
The Hydrodynamical Relevance of the Camassa-Holm and Degasperis-Procesi Equations
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DOI：
10.1007/s00205-008-0128-2
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发表时间：
2009-04-01
影响因子：
2.5
通讯作者：
Lannes, David
中科院分区：
文献类型：
--
作者：
Constantin, Adrian;Lannes, David
近年来，两类非线性色散偏微分方程由于其可积结构而引起了人们的广泛关注。我们证明，这两个方程出现在浅水波的传播模型在一个平坦的床。该方程比经典的非线性色散Benjamin-Bona-Mahoney方程和Korteweg-de弗里斯方程具有更强的非线性效应。特别是，它们适应波浪破碎现象。
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.