Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations

被引：0

作者：

RATALARPOSHTI ^{[1
]}

SEGHASEMI ^{[2
]}

YRAHMANI ^{[3
]}

DDGANJI ^{[3
]}

机构：

[1] Department of Mathematics,Faculty of Mathematical Sciences,Mazandaran University

[2] Young Reseachers and Elite Club,Sari Branch,Islamic Azad University

[3] Department of Mechanical Engineering,Babol University of Technology

来源：

Acta Mathematicae Applicatae Sinica | 2016年 / 32卷 / 03期

关键词：

exp-function method; nonlinear equation; wave solutions; Sine-Gordon equation; Ostrovsky equation;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

In this work, the Exp-function method is employed to find new wave solutions for the Sine-Gordon and Ostrovsky equation. The equations are simplified to the nonlinear partial differential equations and then different types of exact solutions are extracted by this method. It is shown that the Exp-function method is a powerful analytical method for solving other nonlinear equations occurring in nonlinear physical phenomena.Results are presented in contour plots that show the different values of effective parameters on the velocity profiles.

引用

页码：571 / 578

页数：8

共 20 条

[1]

A refined invariant subspace method and applications to evolution equations[J]. MA Wen-Xiu Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA.Science China（Mathematics）. 2012(09)

[2] Thermal investigation of Cu-water nanofluid between two vertical planes [J].

Mohammadian, E. ;

Ghasemi, S. E. ;

Poorgashti, H. ;

Hosseini, M. ;

Ganji, D. D. .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING, 2015, 229 (01) :36-43

[3] Study on motion of rigid rod on a circular surface using MHPM [J].

Ghasemi, Seiyed E. ;

Zolfagharian, Ali ;

Ganji, D. D. .

PROPULSION AND POWER RESEARCH, 2014, 3 (03) :159-164

[4]

Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation[J] . Seiyed E. Ghasemi,M. Hatami,D.D. Ganji.Case Studies in Thermal Engineering . 2014

[5] Electrohydrodynamic flow analysis in a circular cylindrical conduit using Least Square Method [J].

Ghasemi, S. E. ;

Hatami, M. ;

Ahangar, G. H. R. Mehdizadeh ;

Ganji, D. D. .

JOURNAL OF ELECTROSTATICS, 2014, 72 (01) :47-52

[6] Analytical thermal analysis of air-heating solar collectors [J].

Ghasemi, S. E. ;

Hatami, M. ;

Ganji, D. D. .

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2013, 27 (11) :3525-3530

[7] BILINEAR EQUATIONS AND RESONANT SOLUTIONS CHARACTERIZED BY BELL POLYNOMIALS [J].

Ma, Wen-Xiu .

REPORTS ON MATHEMATICAL PHYSICS, 2013, 72 (01) :41-56

[8]

Solving the （3＜ce:hsp sp="0.25"/＞+＜ce:hsp sp="0.25"/＞1）-dimensional generalized KP and BKP equations by the multiple exp-function algorithm[J] . Wen-Xiu Ma,Zuonong Zhu.Applied Mathematics and Computation . 2012 (24)

[9] A multiple exp-function method for nonlinear differential equations and its application [J].

Ma, Wen-Xiu ;

Huang, Tingwen ;

Zhang, Yi .

PHYSICA SCRIPTA, 2010, 82 (06)

[10]

A transformed rational function method and exact solutions to the 3 + 1 dimensional Jimbo–Miwa equation[J] . Wen-Xiu Ma,Jyh-Hao Lee.Chaos, Solitons and Fractals . 2009 (3)

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