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

^*此作品的通讯作者

Northwestern Polytechnical University Xian
Xuchang University

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	677-702
页数	26
期刊	Applied Mathematics and Computation
卷	171
期	2
DOI	https://doi.org/10.1016/j.amc.2005.01.078
出版状态	已出版 - 15 12月 2005
已对外发布	是

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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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day = "15",

doi = "10.1016/j.amc.2005.01.078",

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journal = "Applied Mathematics and Computation",

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T1 - Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation

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

UR - https://www.scopus.com/pages/publications/31144464654

U2 - 10.1016/j.amc.2005.01.078

DO - 10.1016/j.amc.2005.01.078

M3 - Article

AN - SCOPUS:31144464654

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

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