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

Alexandria Engineering Journal

Md. Ali Akbar¹  Syed Tauseef Mohyud-Din²  Md. Nur Alam³ 

[1] Department of Applied Mathematics, University of Rajshahi, Bangladesh;Department of Mathematics, HITEC University, Taxila Cantt, Pakistan;Department of Mathematics, Pabna University of Science and Technology, Bangladesh;

关键词: New approach of the generalized (G′/G)-expansion method;    Strain wave equation;    Microstructured solids;    Solitons;    Traveling wave solutions;    Solitary wave solutions;   

DOI  :  10.1016/j.aej.2014.01.002

来源: DOAJ

【 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.

【 授权许可】

Unknown