General traveling wave solutions of the strain wave equation in microstructured solids via the new approach of generalized (G'/G)-expansion method

被引：47
作者：
Alam, Md. Nur [1 ]
Akbar, Md. Ali [2 ]
Mohyud-Din, Syed Tauseef [3 ]
机构：
[1] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh
[2] Univ Rajshahi, Dept Appl Math, Rajshahi, Bangladesh
[3] HITEC Univ, Dept Math, Taxila Cantt, Pakistan
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2014年 / 53卷 / 01期
关键词：
New approach of the generalized (G'/G)-expansion method; Strain wave equation; Microstructured solids; Solitons; Traveling wave solutions; Solitary wave solutions;
D O I：
10.1016/j.aej.2014.01.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The new approach of generalized (G'/G)-expansion method is significant, powerful and straightforward mathematical tool for finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) arise in the field of engineering, applied mathematics and physics. Dispersive effects due to microstructure of materials combined with nonlinearities give rise to solitary waves. In this article, the new approach of generalized (G'/G)-expansion method has been applied to construct general traveling wave solutions of the strain wave equation in microstructured solids. Abundant exact traveling wave solutions including solitons, kink, periodic and rational solutions have been found. These solutions might play important role in engineering fields. (C) 2014 Production and hosting by Elsevier B. V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码：233 / 241
页数：9
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