Double exp-function method for multisoliton solutions of the Tzitzeica-Dodd-Bullough equation

被引：0
|
作者：
Alaattin Esen
N. Murat Yagmurlu
Orkun Tasbozan
机构：
[1] Inönü University,Department of Mathematics, Faculty of Science and Art
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2016年 / 32卷
关键词：
double exp-function method; one-soliton; two-soliton; Tzitzeica-Dodd-Bullough equation; solitary waves; 35Q51; 74J35; 33F10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, it is aimed to find one- and two-soliton solutions to nonlinear Tzitzeica-Dodd-Bullough (TDB) equation. Since the double exp-function method has been widely used to solve several nonlinear evolution equations in mathematical physics, we have also used it with the help of symbolic computation for solving the present equation. The method seems to be easier and more accurate thanks to the recent developments in the field of symbolic computation.
引用
收藏
页码：461 / 468
页数：7
相关论文
共 50 条
  • [21] Exp-function method for the exact solutions of Sawada-Kotera equation
    Matinfar, M.
    Aminzadeh, M.
    Nemati, M.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2014, 45 (01): : 111 - 119
  • [22] Exact solutions of KdV-Burgers' equation by Exp-function method
    Soliman, A. A.
    CHAOS SOLITONS & FRACTALS, 2009, 41 (02) : 1034 - 1039
  • [23] THE SOLUTION OF KORTWAGE EQUATION BY EXP-FUNCTION METHOD
    Taghizadeh, N.
    Akbari, M.
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2008, 2 (01): : 53 - 59
  • [24] Exp-Function Method for a Generalized MKdV Equation
    Chai, Yuzhen
    Jia, Tingting
    Hao, Huiqin
    Zhang, Jianwen
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [25] Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method
    Xu, Yu-Guang
    Zhou, Xin-Wei
    Yao, Li
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 70 - 73
  • [26] Exp-function method for solving Huxley equation
    Zhou, Xin-Wei
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
  • [27] The exp-function method and generalized solitary solutions
    Chang, Jin-Rong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 2081 - 2084
  • [28] Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzeica-Dodd-Bullough-Mikhailov Type
    Rui, Weiguo
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [29] Exp-function method for solitary and periodic solutions of Fitzhugh-Nagumo equation
    Mohyud-Din, Syed Tauseef
    Khan, Yasir
    Faraz, Naeem
    Yildirim, Ahmet
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (3-4) : 335 - 341
  • [30] Exp-function Method for Generalized Traveling Solutions of Master Partial Differential Equation
    Muhammad Aslam Noor
    Syed Tauseef Mohyud-Din
    Asif Waheed
    Acta Applicandae Mathematicae, 2008, 104 : 131 - 137
12345