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
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
  • [41] New groups of solutions to the Whitham-Broer-Kaup equation
    Yaji WANG
    Hang XU
    Q.SUN
    AppliedMathematicsandMechanics(EnglishEdition), 2020, 41 (11) : 1735 - 1746
  • [42] New groups of solutions to the Whitham-Broer-Kaup equation
    Wang, Yaji
    Xu, Hang
    Sun, Q.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2020, 41 (11) : 1735 - 1746
  • [43] Evolutions of Wave Patterns in Whitham-Broer-Kaup Equation
    Zhang Zheng-Di
    Bi Qin-Sheng
    CHINESE PHYSICS LETTERS, 2009, 26 (01)
  • [44] Approximate Analytical Solutions of Time Fractional Whitham-Broer-Kaup Equations by a Residual Power Series Method
    Wang, Linjun
    Chen, Xumei
    ENTROPY, 2015, 17 (09): : 6519 - 6533
  • [45] Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations
    Chen, Y
    Wang, Q
    Li, B
    CHAOS SOLITONS & FRACTALS, 2005, 26 (01) : 231 - 246
  • [46] A FRACTIONAL WHITHAM-BROER-KAUP EQUATION AND ITS POSSIBLE APPLICATION TO TSUNAMI PREVENTION
    Wang, Yan
    Zhang, Yu-Feng
    Liu, Zhen-Jiang
    Iqbal, Muhammad
    THERMAL SCIENCE, 2017, 21 (04): : 1847 - 1855
  • [47] Numerical Solutions of Time-Fractional Whitham-Broer-Kaup Equations via Sumudu Decomposition Method
    Ahmed, Shams A.
    Elbadri, Mohamed
    Hassan, Abdelgabar Adam
    Hdidi, Walid
    JOURNAL OF MATHEMATICS, 2023, 2023
  • [48] Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation
    Fei, Jinxi
    Ma, Zhengyi
    Cao, Weiping
    NONLINEAR DYNAMICS, 2017, 88 (01) : 395 - 402
  • [49] Fourier spectral method for the fractional-in-space coupled Whitham-Broer-Kaup equations on unbounded domain
    Zhao, Li-Fang
    Zhang, Wei
    OPEN PHYSICS, 2024, 22 (01):
  • [50] New solitary solutions of the Gardner equation and Whitham-Broer-Kaup equations by the modified simplest equation method
    Kuo, Chun-Ku
    OPTIK, 2017, 147 : 128 - 135