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Taha, Wafaa M.; Noorani, M. S. M.; Hashim, I.

New application of the \((G'/G)\)-expansion method for thin film equations. (English) Zbl 1328.35013

Abstr. Appl. Anal. 2013, Article ID 535138, 6 p. (2013).
Summary: The \((G'/G)\)-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.

MSC:

35C07 Traveling wave solutions
35Q35 PDEs in connection with fluid mechanics
76A20 Thin fluid films
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