Exact traveling solutions of some nonlinear evolution equation by (G'/G)-expansion method

被引:29
|
作者
Ganji, D. D. [1 ]
Abdollahzadeh, M. [1 ]
机构
[1] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran
关键词
differential equations; nonlinear equations; solitons; wave equations; PERIODIC-WAVE SOLUTIONS; EXP-FUNCTION METHOD; GENERALIZED (G'/G)-EXPANSION METHOD; VARIATIONAL ITERATION METHOD; HOMOTOPY-PERTURBATION METHOD; ELLIPTIC FUNCTION EXPANSION; SINE-COSINE METHOD; KDV EQUATION; DIFFUSION; COMPACT;
D O I
10.1063/1.3052847
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we establish exact solutions for some nonlinear evolution equations. The (G(')/G)-expansion method was used to construct traveling wave solutions of Ramani's equations. In this method we take the advantages of the general solutions of the second order LODE to solve effectively many nonlinear evolution equations. The (G(')/G)-expansion method presents a wider applicability for handling nonlinear wave equations.
引用
下载
收藏
页数:10
相关论文
共 50 条
  • [1] Some Applications of the (G′/G,1/G)-Expansion Method for Finding Exact Traveling Wave Solutions of Nonlinear Fractional Evolution Equations
    Sirisubtawee, Sekson
    Koonprasert, Sanoe
    Sungnul, Surattana
    SYMMETRY-BASEL, 2019, 11 (08):
  • [2] Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method
    Aslan, Ismail
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 857 - 863
  • [3] New exact traveling wave solutions for some non-linear evolution equations by (G′/G)-expansion method
    Zheng, Bin
    WSEAS Transactions on Mathematics, 2010, 9 (06) : 468 - 477
  • [4] Some New Traveling Wave Solutions of the Nonlinear Reaction Diffusion Equation by Using the Improved (G′/G)-Expansion Method
    Naher, Hasibun
    Abdullah, Farah Aini
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [5] Exact travelling solutions for some nonlinear physical models by (G′/G)-expansion method
    Bahrami, B. Salim
    Abdollahzadeh, H.
    Berijani, I. M.
    Ganji, D. D.
    Abdollahzadeh, M.
    PRAMANA-JOURNAL OF PHYSICS, 2011, 77 (02): : 263 - 275
  • [6] Exact travelling solutions for some nonlinear physical models by ( G′/ G)-expansion method
    B SALIM BAHRAMI
    H ABDOLLAHZADEH
    I M BERIJANI
    D D GANJI
    M ABDOLLAHZADEH
    Pramana, 2011, 77 : 263 - 275
  • [7] Exact travelling wave solutions of some nonlinear equations by (G′/G)-expansion method
    Malik, Anand
    Chand, Fakir
    Mishra, S. C.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2596 - 2612
  • [8] Traveling Wave Solutions of Some Nonlinear Physical Models by Using (G'/G)-expansion Method
    Swain, Sister Nivedita
    Virdi, Jasvinder Singh
    RECENT TRENDS IN WAVE MECHANICS AND VIBRATIONS, WMVC 2018, 2020, : 187 - 200
  • [9] Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved (G′/G)-Expansion Method
    M.Ali Akbar
    Norhashidah Hj.Mohd.Ali
    E.M.E.Zayed
    Communications in Theoretical Physics, 2012, 57 (02) : 173 - 178
  • [10] Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved (G′/G)-Expansion Method
    Akbar, M. Ali
    Ali, Norhashidah Hj. Mohd.
    Zayed, E. M. E.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (02) : 173 - 178