Exact solitary wave solutions to the generalized Fisher equation

被引:45
作者
Zhou, Qin [1 ]
Ekici, M. [2 ]
Sonmezoglu, A. [2 ]
Manafian, J. [3 ]
Khaleghizadeh, S. [4 ]
Mirzazadeh, M. [5 ]
机构
[1] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China
[2] Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey
[3] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran
[4] Payame Noor Univ, Dept Math, Tehran, Iran
[5] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源
OPTIK | 2016年 / 127卷 / 24期
关键词
Solitons; Generalized Fisher equation; tan(phi(xi/2)-Expansion method; Generalized Kudryashov method; Extended G'/G-expansion method;
D O I
10.1016/j.ijleo.2016.09.116
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The well known Fisher equation, describing the process of interaction between diffusion and reaction, has been studied. We presented an analytical study on the exact solitary wave solutions to the generalized Fisher equation. With three integration ways, i.e. the improved tan(phi(xi/2)-expansion method, the generalized Kudryashov method and the extended G'/G-expansion method, we obtained the bright-like, dark-like and singular-like soliton solutions. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码:12085 / 12092
页数:8
相关论文
共 9 条
  • [1] Generalized Kudryashov Method for Time-Fractional Differential Equations
    Demiray, Seyma Tuluce
    Pandir, Yusuf
    Bulut, Hasan
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [2] The extended (G′/G)-expansion method and its applications to the Whitham-Broer-Kaup-Like equations and coupled Hirota-Satsuma KdV equations
    Guo, Shimin
    Zhou, Yubin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (09) : 3214 - 3221
  • [3] Constructing of exact solutions to the KdV and Burgers equations with power-law nonlinearity by the extended (G′/G)-expansion method
    Hayek, Mohamed
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 212 - 221
  • [4] Kudryashov N.A., 2012, COMMUN NONLINEAR SCI, V17
  • [5] Manafian Jalil, 2015, International Journal of Engineering Mathematics, DOI 10.1155/2015/107978
  • [6] Manafian J., 2016, Int. J. Appl. Comput. Math, V2, P243, DOI DOI 10.1007/S40819-015-0058-2
  • [7] Trial equation method for solving the generalized Fisher equation with variable coefficients
    Triki, Houria
    Wazwaz, Abdul-Majid
    [J]. PHYSICS LETTERS A, 2016, 380 (13) : 1260 - 1262
  • [8] Zhou Q., 2016, J MODERN OPT
  • [9] Optical solitons with Biswas-Milovic equation by extended G′/G-expansion method
    Zhou, Qin
    Ekici, M.
    Sonmezoglu, A.
    Mirzazadeh, M.
    [J]. OPTIK, 2016, 127 (16): : 6277 - 6290