Symmetry analysis for Whitham-Broer-Kaup equations

被引：22
|
作者：
Zhang, Zhiyong [1 ]
Yong, Xuelin [2 ]
Chen, Yufu [1 ]
机构：
[1] Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China
[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / 04期
关键词：
D O I：
10.2991/jnmp.2008.15.4.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a further group analysis of Whitham-Broer-Kaup (for short WBK) equations. An optimal system of one-dimensional subalgebras is derived and used to construct reduced equations and similarity solutions. Moreover, a special case of WBK equations is linearized and some new solutions are obtained. At last, conservation laws are also analyzed by means of scaling symmetry.
引用
收藏
页码：383 / 397
页数：15
相关论文
共 50 条
  • [31] 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
  • [32] Similarity wave solutions of Whitham-Broer-Kaup equations in the oceanic shallow water
    Fan, Lulu
    Bao, Taogetusang
    PHYSICS OF FLUIDS, 2024, 36 (07)
  • [33] 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
  • [34] 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
  • [35] New groups of solutions to the Whitham-Broer-Kaup equation
    Yaji WANG
    Hang XU
    Q.SUN
    AppliedMathematicsandMechanics(EnglishEdition), 2020, 41 (11) : 1735 - 1746
  • [36] 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
  • [37] Evolutions of Wave Patterns in Whitham-Broer-Kaup Equation
    Zhang Zheng-Di
    Bi Qin-Sheng
    CHINESE PHYSICS LETTERS, 2009, 26 (01)
  • [38] Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation
    Singh, Jagdev
    Gupta, Arpita
    Baleanu, Dumitru
    ALEXANDRIA ENGINEERING JOURNAL, 2025, 110 : 613 - 628
  • [39] Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation
    Fei, Jinxi
    Ma, Zhengyi
    Cao, Weiping
    NONLINEAR DYNAMICS, 2017, 88 (01) : 395 - 402
  • [40] Fractional View Analysis of Coupled Whitham-Broer-Kaup Equations Arising in Shallow Water with Caputo Derivative
    Alzahrani, Abdulrahman B. M.
    CONTEMPORARY MATHEMATICS, 2024, 5 (04): : 5554 - 5596
12345