Application of the Exp-Function Method for Solving a Partial Differential Equation Arising in Problems of Hydrodynamics

被引：0
|
作者：
Aghdaei M.F. [1 ]
Manafian J. [2 ]
机构：
[1] Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran
[2] Young Researchers and Elite Club, Ilkhchi Branch, Islamic Azad University, Ilkhchi
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期
关键词：
Harry Dym equation; Solitary and soliton solutions; The Exp-function method;
D O I：
10.1007/s40819-017-0335-3
中图分类号：
学科分类号：
摘要：
The aim of present paper is to obtain the analytical solution of Harry Dym equation by using Exp-function method (EFM). He’s Exp-function method is used to construct solitary and soliton solutions of nonlinear evolution equation. The method is straightforward and concise, and its applications are promising. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. The EFM presents a wider applicability for handling nonlinear wave equations. Also, it is shown that the EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations. © 2017, Springer India Pvt. Ltd.
引用
收藏
页码：3937 / 3944
页数：7
相关论文
共 50 条
  • [21] New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method
    Naher, Hasibun
    Abdullah, Farah Aini
    Akbar, M. Ali
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [22] 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
  • [23] 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
  • [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] Application of Exp-function method to potential Kadomtsev-Petviashvili equation
    Da-Quan, Xian
    Zheng-De, Dai
    CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 2653 - 2659
  • [26] Application of Exp-function method to Dullin-Gottwald-Holm equation
    Xiao Guang-Can
    Xian Da-Quang
    Liu Xi-Qiang
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 536 - 541
  • [27] Application of He's Exp-function Method to the Stochastic mKdV Equation
    Dai, Chao-Qing
    Zhang, Jie-Fang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (05) : 675 - 680
  • [28] Application of the Exp-function method to the equal-width wave equation
    Biazar, J.
    Ayati, Z.
    PHYSICA SCRIPTA, 2008, 78 (04)
  • [29] Application of Exp-function method to the generalized Burgers-Huxley equation
    Chun, Changbum
    ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [30] EXP-FUNCTION METHOD FOR SOLVING HIGHER-ORDER BOUNDARY VALUE PROBLEMS
    Mohyud-Din, Syed Tauseef
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2009, 4 (02): : 219 - 234
12345