Explicit solutions of nonlinear wave equation systems

被引:34
作者
Bekir, Ahmet [1 ]
Ayhan, Burcu [1 ]
Ozer, M. Naci [1 ]
机构
[1] Eskisehir Osmangazi Univ, Math & Comp Sci Dept, Eskisehir, Turkey
关键词
(G '/G)-expansion method; long-short-wave interaction system; coupled integrable dispersionless system; MULTIPLE-SOLITON SOLUTIONS; ELLIPTIC FUNCTION-METHOD; (G'/G)-EXPANSION METHOD;
D O I
10.1088/1674-1056/22/1/010202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equations and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. We highlight the power of the (G'/G)-expansion method in providing generalized solitary wave solutions of different physical structures. It is shown that the (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.
引用
收藏
页数:7
相关论文
共 29 条
[1]  
Ahmed Ali A H, 2007, INT J NONLINEAR SCI, V4, P109
[2]   Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method [J].
Aslan, Ismail ;
Ozis, Turgut .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) :425-429
[3]   Multisoliton solutions to Cahn-Allen equation using double exp-function method [J].
Bekir, A. .
PHYSICS OF WAVE PHENOMENA, 2012, 20 (02) :118-121
[4]   Application of the (G′/G)-expansion method for nonlinear evolution equations [J].
Bekir, Ahmet .
PHYSICS LETTERS A, 2008, 372 (19) :3400-3406
[5]   New solitons and periodic wave solutions for some nonlinear physical models by using the sine-cosine method [J].
Bekir, Ahmet .
PHYSICA SCRIPTA, 2008, 77 (04)
[6]   Jacobian elliptic function method for nonlinear differential-difference equations [J].
Dai, CQ ;
Zhang, JF .
CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :1042-1047
[7]   RETRACTED: (G′/G)-expansion method equivalent to the extended tanh-function method (Retracted article. See vol. 82, Article no. 059803, 2010) [J].
El-Wakil, S. A. ;
Abdou, M. A. ;
El-Shewy, E. K. ;
Hendi, A. ;
Abdelwahed, H. G. .
PHYSICA SCRIPTA, 2010, 81 (03)
[8]   Applications of the Jacobi elliptic function method to special-type nonlinear equations [J].
Fan, EG ;
Zhang, H .
PHYSICS LETTERS A, 2002, 305 (06) :383-392
[9]   The first-integral method to study the Burgers-Korteweg-de Vries equation [J].
Feng, ZS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (02) :343-349
[10]   New variable separation solutions of two-dimensional Burgers system [J].
Gurefe, Yusuf ;
Misirli, Emine .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) :9189-9197