Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation

Jianwei Shen; Wei Xu

doi:10.1515/IJNSNS.2004.5.4.397

Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation

Jianwei Shen, Wei Xu

School of Mathematics and Statistics

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

21 Scopus citations

Abstract

The dynamical behaviour and exact special solutions of Degasperis-Procesi equation are studied by bifurcation theory of dynamical systems to show the reason why the peakon arises.

Original language	English
Pages (from-to)	397-402
Number of pages	6
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	5
Issue number	4
DOIs	https://doi.org/10.1515/IJNSNS.2004.5.4.397
State	Published - 2004

Keywords

Bifurcation theory
Cusp wave
Degasperis-Procesi equation(DPE)
Peakon
Periodic wave
Solitary wave

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10.1515/IJNSNS.2004.5.4.397

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title = "Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation",

abstract = "The dynamical behaviour and exact special solutions of Degasperis-Procesi equation are studied by bifurcation theory of dynamical systems to show the reason why the peakon arises.",

keywords = "Bifurcation theory, Cusp wave, Degasperis-Procesi equation(DPE), Peakon, Periodic wave, Solitary wave",

author = "Jianwei Shen and Wei Xu",

year = "2004",

doi = "10.1515/IJNSNS.2004.5.4.397",

language = "英语",

volume = "5",

pages = "397--402",

journal = "International Journal of Nonlinear Sciences and Numerical Simulation",

issn = "1565-1339",

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T1 - Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation

AU - Shen, Jianwei

AU - Xu, Wei

PY - 2004

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N2 - The dynamical behaviour and exact special solutions of Degasperis-Procesi equation are studied by bifurcation theory of dynamical systems to show the reason why the peakon arises.

AB - The dynamical behaviour and exact special solutions of Degasperis-Procesi equation are studied by bifurcation theory of dynamical systems to show the reason why the peakon arises.

KW - Bifurcation theory

KW - Cusp wave

KW - Degasperis-Procesi equation(DPE)

KW - Peakon

KW - Periodic wave

KW - Solitary wave

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U2 - 10.1515/IJNSNS.2004.5.4.397

DO - 10.1515/IJNSNS.2004.5.4.397

M3 - 文章

AN - SCOPUS:10944241946

SN - 1565-1339

VL - 5

SP - 397

EP - 402

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 4

ER -

Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation

Abstract

Keywords

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