Nonlinear excitations and "peakons" of a (2+1)-dimensional generalized Broer-Kaup system

X. Y. Tang; K. W. Chow; S. Y. Lou

doi:10.1007/s10409-007-0062-9

Nonlinear excitations and "peakons" of a (2+1)-dimensional generalized Broer-Kaup system

X. Y. Tang^*
, K. W. Chow
, S. Y. Lou

^*此作品的通讯作者

Shanghai Jiao Tong University
The University of Hong Kong
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives ("peakons") is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

源语言	英语
页（从-至）	209-214
页数	6
期刊	Acta Mechanica Sinica/Lixue Xuebao
卷	23
期	2
DOI	https://doi.org/10.1007/s10409-007-0062-9
出版状态	已出版 - 7月 2007
已对外发布	是

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title = "Nonlinear excitations and {"}peakons{"} of a (2+1)-dimensional generalized Broer-Kaup system",

abstract = "Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives ({"}peakons{"}) is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.",

keywords = "Broer-Kaup system, Excitation, Peakon, Shallow water wave",

author = "Tang, \{X. Y.\} and Chow, \{K. W.\} and Lou, \{S. Y.\}",

year = "2007",

month = jul,

doi = "10.1007/s10409-007-0062-9",

language = "英语",

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T1 - Nonlinear excitations and "peakons" of a (2+1)-dimensional generalized Broer-Kaup system

AU - Tang, X. Y.

AU - Chow, K. W.

AU - Lou, S. Y.

PY - 2007/7

Y1 - 2007/7

N2 - Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives ("peakons") is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

AB - Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives ("peakons") is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

KW - Broer-Kaup system

KW - Excitation

KW - Peakon

KW - Shallow water wave

UR - https://www.scopus.com/pages/publications/34547326074

U2 - 10.1007/s10409-007-0062-9

DO - 10.1007/s10409-007-0062-9

M3 - 文章

AN - SCOPUS:34547326074

SN - 0567-7718

VL - 23

SP - 209

EP - 214

JO - Acta Mechanica Sinica/Lixue Xuebao

JF - Acta Mechanica Sinica/Lixue Xuebao

IS - 2

ER -

Nonlinear excitations and "peakons" of a (2+1)-dimensional generalized Broer-Kaup system

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