An efficient algorithm for computation of solitary wave solutions to nonlinear differential equations

被引:10
作者
Ayub, Kamran [1 ]
Khan, M. Yaqub [1 ]
Mahmood-Ul-Hassan, Qazi [2 ]
Ahmad, Jamshad [3 ]
机构
[1] Riphah Int Univ, Dept Math, Islamabad, Pakistan
[2] Univ Wah, Fac Basic Sci, Dept Math, Wah Cantt, Pakistan
[3] Univ Gujrat, Dept Math, Gujrat, Pakistan
来源
PRAMANA-JOURNAL OF PHYSICS | 2017年 / 89卷 / 03期
关键词
Exp(-phi(zeta))-expansion technique; Drinfeld-Sokolov equation; homogeneous principle; exact and travelling wave solutions; IMPROVED (G'/G)-EXPANSION METHOD; VARIATIONAL ITERATION METHOD; EVOLUTION-EQUATIONS;
D O I
10.1007/s12043-017-1447-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nonlinear mathematical problems and their solutions attain much attention in solitary waves. In soliton theory, an efficient tool to attain various types of soliton solutions is the exp(-phi(zeta))-expansion technique. This article is devoted to find exact travelling wave solutions of Drinfeld-Sokolov equation via a reliable mathematical technique. By using the proposed technique, we attain soliton wave solution of various types. It is observed that the technique under discussion is user friendly with minimum computational work, and can be extended for physical problems of different nature in mathematical physics.
引用
收藏
页数:6
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共 32 条
[1]   Numerical solution of non-linear Klein-Gordon equations by variational iteration method [J].
Abbasbandy, Saeid .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 70 (07) :876-881
[2]   The extended tanh method and its applications for solving nonlinear physical models [J].
Abdou, M. A. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) :988-996
[3]   New applications of variational iteration method [J].
Abdou, MA ;
Soliman, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8
[4]  
Akbar M., 2012, WORLD APPL SCI J, V17, P1603
[5]   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
[6]  
Akbar MA., 2012, World Appl. Sci. J, V16, P1551
[7]  
Akbar MA., 2011, Int. J. Phys. Sci, V6, P7910
[8]   New generalized Jacobi elliptic function rational expansion method [J].
Ali, Ahmad T. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (14) :4117-4127
[9]  
Bibi S., 2014, J. Assoc. Arab Univ. Basic Appl. Sci, V15, P90, DOI DOI 10.1016/J.JAUBAS.2013.03.006
[10]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218