The exp(-Phi(xi))-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation

被引：94

作者：

Khan, Kamruzzaman ^{[1
]}

Akbar, M. Ali ^{[2
]}

机构：

[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh

[2] Rajshahi Univ, Dept Appl Math, Rajshahi 6205, Bangladesh

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2014年 / 5卷 / 01期

关键词：

exp(-Phi(xi))-expansion method; VP equation; exact solution; NLEEs;

D O I：

10.1504/IJDSDE.2014.067119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper employs the exp(-Phi(xi))-expansion method for finding exact solutions of the Vakhnenko-Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions, exponential function solutions and rational function solutions, contain an explicit function of the variables in the considered equation. It has been shown that the method provides a powerful mathematical tool for solving non-linear wave equations in mathematical physics and engineering problems.

引用

页码：72 / 83

页数：12

共 50 条

[31] Exact Travelling Wave Solutions of Richards' Equation by Modified F-expansion Method
Patel, Priyanka M.
Pradhan, Vikas H.
INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) - 2015, 2015, 127 : 759 - 766
[32] A note on exact travelling wave solutions for nonlinear PHI-four equation
Xiang, Chunhuan
PROGRESS IN INDUSTRIAL AND CIVIL ENGINEERING, PTS. 1-5, 2012, 204-208 : 4569 - 4572
[33] On the Exp-function method for constructing travelling wave solutions of nonlinear equations
Zhang, Lijun
Huo, Xuwen
NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2010, 1212 : 280 - +
[34] Extraction of the gravitational potential and high-frequency wave perturbation properties of nonlinear (3+1)-dimensional Vakhnenko-Parkes equation via novel approach
Yan, Li
Baskonus, Haci Mehmet
Cattani, Carlo
Gao, Wei
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (05) : 3480 - 3489
[35] Exact travelling wave solutions of the discrete nonlinear Schrodinger equation and the hybrid lattice equation obtained via the exp-function method
Dai, Chao-Qing
Wang, Yue-Yue
PHYSICA SCRIPTA, 2008, 78 (01)
[36] Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method
Dai, Chao-Qing
Cen, Xu
Wu, Sheng-Sheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 58 - 63
[37] Application of (G′/G)-expansion method to travelling wave solutions of three nonlinear evolution equation
Abazari, Reza
COMPUTERS & FLUIDS, 2010, 39 (10) : 1957 - 1963
[38] Travelling Wave Solutions for Fractional Boussinesq Equation Using Modified (G′/G) Expansion Method
Al-Shawba, Altaf A.
Abdullah, Farah Aini
Azmi, Amirah
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
[39] The Application of the exp(-Φ(ξ))- Expansion Method for Finding the Exact Solutions of Two Integrable Equations
Sajid, Naila
Akram, Ghazala
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[40] A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation
Ma, Yu-Lan
Li, Bang-Qing
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 2212 - 2219

← 1 2 3 4 5 →