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
  • [31] Application of the bifurcation method to the Whitham-Broer-Kaup-Like equations
    Song, Ming
    Cao, Jun
    Guan, Xiaoli
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 688 - 696
  • [32] Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation
    Shen, JW
    Xu, W
    Jin, YF
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) : 677 - 702
  • [33] On the linearized Whitham-Broer-Kaup system on bounded domains
    Liverani, L.
    Mammeri, Y.
    Pata, V.
    Quintanilla, R.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
  • [34] New groups of solutions to the Whitham-Broer-Kaup equation
    Yaji Wang
    Hang Xu
    Q. Sun
    Applied Mathematics and Mechanics, 2020, 41 : 1735 - 1746
  • [35] Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion
    Bedjaoui, Nabil
    Kumar, Rajesh
    Mammeri, Youcef
    JOURNAL OF APPLIED ANALYSIS, 2022, 28 (01) : 109 - 119
  • [36] Backlund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
    Engui F.
    Hongqing Z.
    Applied Mathematics and Mechanics, 1998, 19 (8) : 713 - 716
  • [37] Nonlocal Symmetry, CTE Solvability and Interaction Solutions of Whitham-Broer-Kaup Equations
    Zhou, Wei
    Lu, Bin
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (02) : 143 - 146
  • [38] Similarity wave solutions of Whitham-Broer-Kaup equations in the oceanic shallow water
    Fan, Lulu
    Bao, Taogetusang
    PHYSICS OF FLUIDS, 2024, 36 (07)
  • [39] BACKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER
    范恩贵
    张鸿庆
    Applied Mathematics and Mechanics(English Edition), 1998, (08) : 713 - 716
  • [40] Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations
    Mohebbi, Akbar
    Asgari, Zohreh
    Dehghan, Mehdi
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 4602 - 4610
12345