New Application of the ( G ′ / G ) -Expansion Method for Thin Film Equations

Abstract

The $(G^{\prime }/G)$-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.