DOUBLE REDUCTION OF THE GENERALIZED ZAKHAROV EQUATIONS VIA CONSERVATION LAWS

被引:0
|
作者
Buhe, Eerdun [1 ,2 ]
Fakhar, K. [2 ]
Wang, Gangwei [2 ,3 ]
Chaolu, Temuer [4 ]
机构
[1] Hohhot Univ Nationalities, Dept Math, Hohhot 010051, Peoples R China
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[3] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
[4] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 200135, Peoples R China
关键词
Generalized Zakharov equations; Lie symmetries; Conservation laws; Double reductions; Travelling wave solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; WAVE SOLUTIONS; SOLITONS; SYMMETRIES; DYNAMICS;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we study the generalized Zakharov equations with perspective different from those done previously, namely, by determining its symmetry generators, constructing some conservation laws and then use the associations between these to attain a double reduction of the corresponding differential equations leading to two travelling wave solutions.
引用
收藏
页码:329 / 339
页数:11
相关论文
共 50 条
  • [31] CONSERVATION LAWS AND SYMMETRIES OF TIME-DEPENDENT GENERALIZED KDV EQUATIONS
    Anco, Stephen
    Rosa, Maria
    Luz Gandarias, Maria
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (04): : 607 - 615
  • [32] Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov-Kuznetsov dynamical model arising in a dust plasma
    Wael, Shrouk
    Seadawy, Aly R.
    EL-Kalaawy, O. H.
    Maowad, S. M.
    Baleanu, Dumitru
    RESULTS IN PHYSICS, 2020, 19
  • [33] Conservation laws and variational structure of damped nonlinear wave equations
    Anco, Stephen C.
    Marquez, Almudena P.
    Garrido, Tamara M.
    Gandarias, Maria L.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 3974 - 3996
  • [34] Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis
    Zhang, Youwei
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2022, 12 (06) : 527 - 544
  • [35] Exact Solutions and Conservation Laws of a Generalized (1+1) Dimensional System of Equations via Symbolic Computation
    Mbusi, Sivenathi Oscar
    Muatjetjeja, Ben
    Adem, Abdullahi Rashid
    MATHEMATICS, 2021, 9 (22)
  • [36] Traveling Wave Solutions for the Generalized Zakharov Equations
    Song, Ming
    Liu, Zhengrong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [37] On global smooth solution for generalized Zakharov equations
    You, Shujun
    Ning, Xiaoqi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (01) : 64 - 75
  • [38] Invariant analysis and conservation laws of time fractional Schrodinger equations
    Hussain, Q.
    Zaman, F. D.
    Kara, A. H.
    OPTIK, 2020, 206
  • [39] Symmetry analysis, exact solutions and conservation laws of 3D Zakharov-Kuznetsov (ZK) equation
    Fatlane, Malose Joseph
    Adem, Khadijo Rashid
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (08) : 2553 - 2563
  • [40] Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation
    Singh, Manjit
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 300 - 312