Study of coupled nonlinear partial differential equations for finding exact analytical solutions

被引：27

作者：

Khan, Kamruzzaman ^{[1
]}

Akbar, M. Ali ^{[2
]}

Koppelaar, H. ^{[3
]}

机构：

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

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

[3] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, Delft, Netherlands

来源：

ROYAL SOCIETY OPEN SCIENCE | 2015年 / 2卷 / 07期

关键词：

enhanced (G '/G)-expansion method; Drinfel'd-Sokolov-Wilson equation; Painleve integrable Burgers equation; solitary wave; nonlinear partial differential equations; TRAVELING-WAVE SOLUTIONS; SIMPLEST EQUATION; EVOLUTION-EQUATIONS;

D O I：

10.1098/rsos.140406

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G'/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd-Sokolov-Wilson (DSW) equation and the (2 + 1)-dimensional Painleve integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics.

引用

页数：13

共 28 条

[1] Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved (G′/G)-Expansion Method [J].

Akbar, M. Ali ;

Ali, Norhashidah Hj. Mohd. ;

Zayed, E. M. E. .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (02) :173-178

[2]

[Anonymous], 2013, Phys. Rev. Res. Int

[3] Exact solutions for nonlinear evolution equations using Exp-function method [J].

Bekir, Ahmet ;

Boz, Ahmet .

PHYSICS LETTERS A, 2008, 372 (10) :1619-1625

[4] Cnoidal wave, snoidal wave, and soliton solutions of the D(m,n) equation [J].

Ebadi G. ;

Krishnan E.V. ;

Johnson S. ;

Biswas A. .

Arabian Journal of Mathematics, 2013, 2 (1) :19-31

[5] Solitons and cnoidal waves of the Klein-Gordon-Zakharov equation in plasmas [J].

Ebadi, Ghodrat ;

Krishnan, E. V. ;

Biswas, Anjan .

PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (02) :185-198

[6]

Eslami M., 2011, COMPUT MATH MODEL, V22, P92

[7] Exp-function method for nonlinear wave equations [J].

He, Ji-Huan ;

Wu, Xu-Hong .

CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708

[8]

Jawad AJM., 2013, INT J SCI ENG RES, V4, P582

[9] Modified simple equation method for nonlinear evolution equations [J].

Jawad, Anwar Ja'afar Mohamad ;

Petkovic, Marko D. ;

Biswas, Anjan .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :869-877

[10]

Khan Kamruzzaman, 2013, ISRN Mathematical Physics, DOI 10.1155/2013/146704

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