MULTIPLE SOLITON SOLUTIONS FOR THE NAGUMO EQUATION AND THE MODIFIED GENERAL BURGERS-FISHER EQUATION

被引:6
|
作者
Abdusalam, H. A. [1 ]
机构
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
关键词
Telegraph reaction diffusion equation; modified tanh-function method; Nagumo's equation; general Burgers-Fisher equation; soliton solutions;
D O I
10.1142/S0219876206000904
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A generalized tanh-function method is used for constructing exact travelling wave solutions for Nagumo's equation and the modified generalized Burger-Fisher equation. Also new multiple soliton solutions are obtained for both equations. Limit case of the time delay is studied and the results of the general Burgers-Fisher equations are verified.
引用
收藏
页码:371 / 381
页数:11
相关论文
共 50 条
  • [31] Application of Exp-function Method to Generalized Burgers-Fisher Equation
    Xu, Zhen-hui
    Xian, Da-quan
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 26 (04): : 669 - 676
  • [32] Soliton solutions of Burgers equations and perturbed Burgers equation
    Jawad, Anwar Ja'afar Mohamad
    Petkovic, Marko D.
    Biswas, Anjan
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (11) : 3370 - 3377
  • [33] The approximation for the boundary optimal control problem of Burgers-Fisher equation with constraints
    Yu, Xin
    Cheng, Rongjun
    Jiang, Huachen
    Zhang, Qian
    Xu, Chao
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 889 - 898
  • [35] A New Class of Difference Methods with Intrinsic Parallelism for Burgers-Fisher Equation
    Pan, Yueyue
    Wu, Lifei
    Yang, Xiaozhong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [36] Application of Exp-function method to generalized Burgers-Fisher equation
    Zhen-hui Xu
    Da-quan Xian
    Acta Mathematicae Applicatae Sinica, English Series, 2010, 26 : 669 - 676
  • [37] New Implementation of Radial Basis Functions for Solving Burgers-Fisher Equation
    Tatari, Mehdi
    Sepehrian, Behnam
    Alibakhshi, Maryam
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (01) : 248 - 262
  • [38] A Compact Finite Difference Method for the Solution of the Generalized Burgers-Fisher Equation
    Sari, Murat
    Gurarslan, Gurhan
    Dag, Idris
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (01) : 125 - 134
  • [39] The study on the soliton solution of the generalized burgers-fisher system
    Ma Yulan
    Li Bangqing
    APPLIED MECHANICS AND MECHANICAL ENGINEERING, PTS 1-3, 2010, 29-32 : 768 - +
  • [40] Exact solutions of time-fractional generalised Burgers-Fisher equation using generalised Kudryashov method
    Selvaraj, Ramya
    Venkatraman, Swaminathan
    Ashok, Durga Devi
    Krishnaraja, Krishnakumar
    PRAMANA-JOURNAL OF PHYSICS, 2020, 94 (01):