Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation

Jianwei Shen; Wei Xu; Yanfei Jin

doi:10.1016/j.amc.2005.01.078

Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation

Jianwei Shen^*, Wei Xu, Yanfei Jin

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

By using bifurcation method to Whitham-Broer-Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed.

Original language	English
Pages (from-to)	677-702
Number of pages	26
Journal	Applied Mathematics and Computation
Volume	171
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.01.078
Publication status	Published - 15 Dec 2005
Externally published	Yes

Keywords

Bifurcation theory
Dynamical systems
Kink and anti-kink wave solution
Periodic wave solution
Solitary wave solution
WBK equations

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10.1016/j.amc.2005.01.078

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title = "Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation",

abstract = "By using bifurcation method to Whitham-Broer-Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed.",

keywords = "Bifurcation theory, Dynamical systems, Kink and anti-kink wave solution, Periodic wave solution, Solitary wave solution, WBK equations",

author = "Jianwei Shen and Wei Xu and Yanfei Jin",

year = "2005",

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AU - Shen, Jianwei

AU - Xu, Wei

AU - Jin, Yanfei

PY - 2005/12/15

Y1 - 2005/12/15

N2 - By using bifurcation method to Whitham-Broer-Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed.

AB - By using bifurcation method to Whitham-Broer-Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed.

KW - Bifurcation theory

KW - Dynamical systems

KW - Kink and anti-kink wave solution

KW - Periodic wave solution

KW - Solitary wave solution

KW - WBK equations

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DO - 10.1016/j.amc.2005.01.078

M3 - Article

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SN - 0096-3003

VL - 171

SP - 677

EP - 702

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation

Abstract

Keywords

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