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

Authors :
Shen, Jianwei
Xu, Wei
Jin, Yanfei
Source :
Applied Mathematics & Computation. Dec2005, Vol. 171 Issue 2, p679-704. 26p.
Publication Year :
2005

Abstract

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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00963003
Volume :
171
Issue :
2
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
19616948
Full Text :
https://doi.org/10.1016/j.amc.2005.01.078