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
收藏
页码：231 / 236
页数：6
相关论文
共 50 条
  • [41] The dynamics of an ion acting on two monochromatic obliquely propagating Alfvén waves
    虞立敏
    盛正卯
    张先梅
    薛二兵
    Plasma Science and Technology, 2017, (07) : 16 - 29
  • [42] The dynamics of an ion acting on two monochromatic obliquely propagating Alfvén waves
    虞立敏
    盛正卯
    张先梅
    薛二兵
    Plasma Science and Technology, 2017, 19 (07) : 16 - 29
  • [43] Enhancement of asymptotic formula for added resistance of ships in short waves
    Yang, Kyung-Kyu
    Kim, Yonghwan
    Jung, Yoo-Won
    OCEAN ENGINEERING, 2018, 148 : 211 - 222
  • [44] Asymptotic Determination of the Liquefaction Depth for Short and Long Water Waves
    Quesada, A.
    Bautista, E.
    Mendez, F.
    JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING, 2021, 147 (03)
  • [45] Bulk and surface waves in porous media: Asymptotic analysis
    Edelman, I
    MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, WAVES 2003, 2003, : 163 - 168
  • [46] AN ASYMPTOTIC TREATMENT OF TRANSIENT DEVELOPMENT OF AXISYMMETRIC SURFACE WAVES
    DEBNATH, L
    APPLIED SCIENTIFIC RESEARCH, 1969, 21 (01): : 24 - &
  • [47] Short surface waves in anisotropic fluids
    Golubyatnikov, A.N.
    Kalugin, A.G.
    Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, 2001, (01): : 58 - 60
  • [48] DIFFRACTION OF SHORT WAVES AT EARTHS SURFACE
    IVANOV, VV
    STEPANOV, BM
    RADIO ENGINEERING AND ELECTRONIC PHYSICS-USSR, 1971, 16 (08): : 1243 - &
  • [49] Field Studies of Features of Wind Waves at Short Fetches
    Baydakov G.A.
    Kandaurov A.A.
    Kuznetsova A.M.
    Sergeev D.A.
    Troitskaya Y.I.
    Bulletin of the Russian Academy of Sciences: Physics, 2018, 82 (11) : 1431 - 1434
  • [50] Theoretical and experimental study of the characteristics of short wind waves
    Wei Wang
    Zheng Shen
    Science in China Series D: Earth Sciences, 1999, 42 : 80 - 87
12345