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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 535138, 6 pages
Research Article

New Application of the -Expansion Method for Thin Film Equations

Pusat Pengajian Sains Matematik, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Received 4 December 2012; Revised 25 January 2013; Accepted 26 January 2013

Academic Editor: Allan Peterson

Copyright © 2013 Wafaa M. Taha et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The -expansion method is used for the first time to find traveling wave solutions for thin film equations, where it is found that the related balance numbers are not the usual positive integers. The closed-form solution obtained via this method is in good agreement with the previously obtained solutions of other researchers. It is also noted that, for appropriate parameters, new solitary waves solutions are found.