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

被引：45
|
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
相关论文
共 50 条
  • [21] Traveling wave solution for the BBM equation with any order by (G′/G)-expansion method
    Feng, Qinghua
    Zheng, Bin
    WSEAS Transactions on Mathematics, 2010, 9 (03) : 181 - 190
  • [22] New approach of (G′/G)- expansion method and new approach of generalized (G′/G)-expansion method for nonlinear evolution equation
    Naher, Hasibun
    Abdullah, Farah Aini
    AIP ADVANCES, 2013, 3 (03)
  • [23] Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G,1/G)-expansion and (1/G′)-expansion techniques
    Yokus, Asif
    Durur, Hulya
    Ahmad, Hijaz
    Thounthong, Phatiphat
    Zhang, Ying-Fang
    RESULTS IN PHYSICS, 2020, 19
  • [24] Finding the Generalized Solitary Wave Solutions within the (G′/G)-Expansion Method
    Sayevand, K.
    Khan, Yasir
    Moradi, E.
    Fardi, M.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2015, 105 (05): : 361 - 373
  • [25] Finding the generalized solitary wave solutions within the (g′/g)-expansion method
    Sayevand, K.
    Khan, Yasir
    Moradi, E.
    Fardi, M.
    CMES - Computer Modeling in Engineering and Sciences, 2015, 105 (05): : 361 - 373
  • [26] Application of the novel (G′/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation
    M. Ali Akbar
    Md. Nur Alam
    Md. Golam Hafez
    Indian Journal of Pure and Applied Mathematics, 2016, 47 : 85 - 96
  • [27] Application of the novel (G'/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation
    Akbar, M. Ali
    Alam, Md. Nur
    Hafez, Md. Golam
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (01): : 85 - 96
  • [28] Bright and dark soliton solutions of the strain wave equation in microstructured solids
    Wang, Heng
    Zheng, Shuhua
    OPTIK, 2017, 148 : 215 - 226
  • [29] Traveling wave solutions for three non-linear equations by (G′/G)-expansion method
    Feng, Qinghua
    Zheng, Bin
    WSEAS Transactions on Computers, 2010, 9 (03): : 225 - 234
  • [30] Traveling wave solutions for two non-linear equations by (G′/G)-expansion method
    Feng, Qinghua
    Zheng, Bin
    WSEAS Transactions on Information Science and Applications, 2010, 7 (03): : 401 - 410
12345