Application of the variational iteration method to the Whitham-Broer-Kaup equations

被引：55
|
作者：
Rafei, M. [1 ]
Daniali, H. [1 ]
机构：
[1] Mazandaran Univ, Dept Mech Engn, Babol Sar, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 7-8期
关键词：
variational iteration method; Whitham-Broer-Kaup equation; traveling wave solution; modified Boussinesq equation; approximate long wave equation;
D O I：
10.1016/j.camwa.2006.12.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Explicit traveling wave solutions including blow-up and periodic solutions of the Whitham-Broer-Kaup equations are obtained by the variational iteration method. Moreover, the results are compared with those obtained by the Adomian decomposition method, revealing that the variational iteration method is superior to the Adomian decomposition method. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1079 / 1085
页数：7
相关论文
共 50 条
  • [21] On the approximate solution of fractional-order Whitham-Broer-Kaup equations
    Khan, Hassan
    Gomez-Aguilar, J. F.
    Alderremy, A. A.
    Aly, Shaban
    Baleanu, Dumitru
    MODERN PHYSICS LETTERS B, 2021, 35 (11):
  • [22] ON THE NUMERICAL SOLUTION OF WHITHAM-BROER-KAUP SHALLOW WATER WAVE EQUATIONS
    Olayiwola, Morufu Oyedunsi
    JOURNAL OF SCIENCE AND ARTS, 2016, (04): : 337 - 344
  • [23] An efficient technique to study of time fractional Whitham-Broer-Kaup equations
    Bhatnagar, Nishant
    Modi, Kanak
    Yadav, Lokesh Kumar
    Dubey, Ravi Shanker
    INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2024,
  • [24] A generalized method and general form solutions to the Whitham-Broer-Kaup equation
    Chen, Y
    Wang, Q
    Li, BA
    CHAOS SOLITONS & FRACTALS, 2004, 22 (03) : 675 - 682
  • [25] Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation
    Chen, Y
    Wang, Q
    PHYSICS LETTERS A, 2005, 347 (4-6) : 215 - 227
  • [26] The analytical solution of fractional-order Whitham-Broer-Kaup equations by an Elzaki decomposition method
    Shah, Nehad Ali
    Chung, Jae Dong
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (02)
  • [27] Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water
    Lin, Guo-Dong
    Gao, Yi-Tian
    Gai, Xiao-Ling
    Meng, De-Xin
    NONLINEAR DYNAMICS, 2011, 64 (1-2) : 197 - 206
  • [28] Homogenous Balance Method and Exact Analytical Solutions for Whitham-Broer-Kaup Equations in Shallow Water
    XIA Zhi(Department of Mathematics
    数学季刊, 2004, (03) : 240 - 246
  • [29] Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations
    Ali, Amjad
    Shah, Kamal
    Khan, Rahmat Ali
    ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (03) : 1991 - 1998
  • [30] Backlund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
    Fan, EG
    Zhang, HQ
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1998, 19 (08) : 713 - 716
12345