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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	209-214
Number of pages	6
Journal	Acta Mechanica Sinica/Lixue Xuebao
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s10409-007-0062-9
State	Published - Jul 2007
Externally published	Yes

Keywords

Broer-Kaup system
Excitation
Peakon
Shallow water wave

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10.1007/s10409-007-0062-9

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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",

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

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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

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DO - 10.1007/s10409-007-0062-9

M3 - 文章

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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

Abstract

Keywords

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