Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and (G′/G)-expansion method

被引：106
|
作者：
Kumar, Sachin [1 ]
Singh, K. [2 ]
Gupta, R. K. [1 ]
机构：
[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
[2] Jaypee Univ Informat Technol, Dept Math, Waknaghat 173234, India
来源：
PRAMANA-JOURNAL OF PHYSICS | 2012年 / 79卷 / 01期
关键词：
Lie classical method; the (G '/G)-expansion method; travelling wave solutions; coupled Higgs equation; Hamiltonian amplitude equation; ELLIPTIC FUNCTION SOLUTIONS; WAVE SOLUTIONS; NONLINEAR EVOLUTION; TANH METHOD; FAMILIES;
D O I：
10.1007/s12043-012-0284-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, coupled Higgs field equation and Hamiltonian amplitude equation are studied using the Lie classical method. Symmetry reductions and exact solutions are reported for Higgs equation and Hamiltonian amplitude equation. We also establish the travelling wave solutions involving parameters of the coupled Higgs equation and Hamiltonian amplitude equation using (G'/G)-expansion method, where G = G(xi) satisfies a second-order linear ordinary differential equation (ODE). The travelling wave solutions expressed by hyperbolic, trigonometric and the rational functions are obtained.
引用
收藏
页码：41 / 60
页数：20
相关论文
共 50 条
  • [31] Application of the Extended G'/G-expansion Method to the Improved Eckhaus Equation
    Taghizadeh, Nasir
    Noori, Seyyedeh Roodabeh Moosavi
    Noori, Seyyedeh Bahareh Moosavi
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2014, 9 (01): : 371 - 387
  • [32] Application of G′/G-expansion method to Kuramoto-Sivashinsky equation
    Ghodrat Ebadi
    Anjan Biswas
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 623 - 630
  • [33] The (G′/G)-Expansion Method for the Sine-Gordon Equation, Sinh-Gordon Equation and Liouville Equaiton
    Dai, Hui-Ju
    Li, Lian-Zhong
    PROCEEDINGS OF THE 3RD ANNUAL INTERNATIONAL CONFERENCE ON ADVANCED MATERIAL ENGINEERING (AME 2017), 2017, 110 : 186 - 190
  • [34] Traveling wave solutions for the fifth-order Kdv equation and the BBM equation by (G′/G)-expansion method
    Feng, Qinghua
    Zheng, Bin
    WSEAS Transactions on Mathematics, 2010, 9 (03) : 201 - 210
  • [35] Solutions of the nonlinear evolution equation via the generalized Riccati equation mapping together with the (G′/G)-expansion method
    Ul Hassan, Qazi Mahmood
    Naher, Hasibun
    Abdullah, Farah
    Mohyud-Din, Syed Tauseef
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (01) : 62 - 82
  • [36] Modified (G'/G)-expansion method for finding exact wave solutions of the coupled Klein-Gordon-Schrodinger equation
    Bansal, Anupma
    Gupta, Rajesh K.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (10) : 1175 - 1187
  • [37] A connection between the (G′/G)-expansion method and the truncated Painleve expansion method and its application to the mKdV equation
    Zhao Yin-Long
    Liu Yin-Ping
    Li Zhi-Bin
    CHINESE PHYSICS B, 2010, 19 (03)
  • [38] A connection between the(G'/G)-expansion method and the truncated Painlevé expansion method and its application to the mKdV equation
    赵银龙
    柳银萍
    李志斌
    Chinese Physics B, 2010, 19 (03) : 45 - 50
  • [39] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double (G?/G,1/G)-expansion method
    Iqbal, M. Ashik
    Baleanu, Dumitru
    Miah, M. Mamun
    Ali, H. M. Shahadat
    Alshehri, Hashim M.
    Osman, M. S.
    RESULTS IN PHYSICS, 2023, 47
  • [40] APPLICATION OF THE (G′/G)-EXPANSION METHOD FOR (2+1)-DIMENSIONAL BOUSSINESQ EQUATION AND KADOMTSEV-PETVIASHVILI EQUATION
    Zheng, Bin
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2010, 72 (04): : 175 - 184
12345