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
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2006年 / 3卷 / 03期
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
  • [21] Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions
    Rosa, M.
    Camacho, J. C.
    Bruzon, M. S.
    Gandarias, M. L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 354 : 545 - 550
  • [22] Outset of multiple soliton solutions to the nonlinear Schrodinger equation and the coupled Burgers equation
    Akbar, M. Ali
    Ali, Norhashidah Hj Mohd
    Tanjim, Tasnim
    JOURNAL OF PHYSICS COMMUNICATIONS, 2019, 3 (09):
  • [23] Direct discontinuous Galerkin method for the generalized Burgers-Fisher equation
    Zhang Rong-Pei
    Zhang Li-Wei
    CHINESE PHYSICS B, 2012, 21 (09)
  • [24] Local stabilization of the Burgers-Fisher equation via boundary control
    Zhao, Hengzhi
    Zhang, Jiwei
    Lu, Jing
    ASIAN JOURNAL OF CONTROL, 2024, 26 (03) : 1402 - 1413
  • [25] Direct discontinuous Galerkin method for the generalized Burgers-Fisher equation
    School of Sciences, Liaoning Shihua University, Fushun 113001, China
    不详
    不详
    Chin. Phys., 1674, 9
  • [26] Direct discontinuous Galerkin method for the generalized Burgers-Fisher equation
    张荣培
    张立伟
    Chinese Physics B, 2012, (09) : 72 - 75
  • [27] A Three Level Explicit Difference Method for Burgers-Fisher Equation
    Chen, Youxin
    Zhang, Luming
    Yang, Lei
    PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 5 - 9
  • [28] Discontinuous Legendre wavelet Galerkin method for the generalised Burgers-Fisher equation
    Zheng X.
    Fu Y.
    Wei Z.
    Zheng, Xiaoyang (zhengxiaoyang@cqut.edu.cn), 2018, Inderscience Publishers, 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland (09)
  • [29] Discontinuous Legendre wavelet Galerkin method for the generalised Burgers-Fisher equation
    Zheng, Xiaoyang
    Fu, Yong
    Wei, Zhengyuan
    INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2018, 9 (01) : 82 - 89
  • [30] Pattern formation in a nonequilibrium phase transition for a generalized Burgers-Fisher equation
    Huang, Q.
    Tang, J.
    Zhang, L.
    Ouyang, K.
    JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2016, 57 (03) : 416 - 421
12345