Journal
ALEXANDRIA ENGINEERING JOURNAL
Volume 53, Issue 1, Pages 233-241Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.aej.2014.01.002
Keywords
New approach of the generalized (G'/G)-expansion method; Strain wave equation; Microstructured solids; Solitons; Traveling wave solutions; Solitary wave solutions
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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.
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