Asymptotic dynamics of monochromatic short surface wind waves

被引：25

作者：

Manna, MA ^{[1
]}

机构：

[1] Univ Montpellier 2, CNRS, UMR5825, F-34095 Montpellier, France

来源：

PHYSICA D | 2001年 / 149卷 / 04期

关键词：

Green-Naghdi system; monochromatic short surface wind waves; peakon solutions; compacton solutions;

D O I：

10.1016/S0167-2789(00)00205-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear equation governing asymptotic dynamics of monochromatic short surface wind waves is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It admits peakon solutions with amplitude, velocity and width in interrelation and static compacton solutions with amplitude and width in interrelation. Short wave pattern formation is shown to result from a balance between linear dispersion and nonlinearity. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：231 / 236

页数：6

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